I want to vacation in the country of Georgia. I have an Indian passport, and have a Schengen visa. Can I enter Georgia with this Schengen visa, or do I need to get another visa?
According to the Legislative Herald of Georgia:
List of Countries, Whose Visa and/or Residence Permit Holders May Enter Georgia without a Visa for an Appropriate Period and under Appropriate Conditions
Republic of Austria
Kindgom of Belgium
Aliens holding a visa and/or a residence permit of any country listed in the annex may enter and stay in Georgia without visa for 90 calendar days in any 180-day period.
For the purpose of entering and staying in Georgia without visa, a visa and/or a residence permit of a respective country shall be valid on the day of entry into Georgia (crossing the border), which must be evidenced by a travel and/or other appropriate document.
(Note that you can also find all other Schengen members on this list, I just copied the first two.)
You can also fill out a few details about yourself (intent of travel, citizenship, ...) at the Georgian visa information page and it will tell you whether you need a visa.
In general, you should be good to go, assuming your Schengen visa is still valid.
Timatic, the database used by airlines, gives the same information:
Visa required, except for Passengers with a visa issued by an EEA Member State [...] for a maximum stay of 90 days.
[Note, I copied parts of my answer at https://travel.stackexchange.com/a/89388/54794 for this answer, I hope this is allowed.]