Take dancing classes.
For ballroom dancing you already need to have a partner, more or less, so maybe better look into Salsa. Or Swing dances from the thirties (Lindy Hop etc.).
Don't go there with the goal of finding your "soul-mate". Actively resist that and say to yourself that you will not obsess over any of the girls there.
Give yourself small quests: tonight I'm asking two different women to dance with me. Tonight I'm going to strike up a conversation with at least three people, at leadt one of which is male. Stuff like that.