The located at the back of brain controls balance?

The correct answer is Cerebellum.

The cerebellum is located at the back of the brain and is responsible for controlling balance, coordination, and motor skills. It is also involved in speech, language, and learning. The cerebellum is a small, highly convoluted structure that is located behind the brainstem and below the cerebrum. It is made up of two hemispheres, each of which is divided into three lobes. The cerebellum is connected to the rest of the brain by three pairs of peduncles.