Virginia State Route 237 runs east-west across Central Arlington County. It runs from U.S. Rt. 50 to the Falls Church City Limits. VA St Rt 237 passes through the following towns in Arlington County. Courthouse Ballston East Falls Church VA St Rt 237 is multi-plexed in Arlington County. Virginia State Route 120, at Ballston. VA St Rt 237 intersects the following highways in Arlingotn County. U.S. Rt. 50, near Courthouse. Virginia State Route 120, near Ballston.