Final answer:
The three styles of dance, New Way, Old Way, and Vogue Fem, are associated with Voguing, which is a part of Hip Hop dance that originated in the Harlem ballroom scene.
Step-by-step explanation:
The styles of dance mentioned, New Way, Old Way, and Vogue Fem, are broadly the three styles of Voguing, a dance form that evolved out of the Harlem ballroom scene. Hence, the correct answer to the question is Hip Hop, as Voguing is associated with this genre.
This dance style is deeply rooted in the African American and Latino communities and carries significant historical and cultural connotations. It incorporates fashion and body movements that mimic the poses of models in Vogue magazine, and over time, it has developed into the distinct styles mentioned.