If the mean weight of 4 backfield members on the football team is 238 lb and the mean weight of the 7 other players is 200 lb, what is the mean weight of the 11-person team?

To find the mean weight of the 11-person team, you need to first find the total weight of all 11 players.

The total weight of the 4 backfield members is 4 * 238 lb = <<4*238=952>>952 lb.
The total weight of the 7 other players is 7 * 200 lb = <<7*200=1400>>1400 lb.

The total weight of the 11-person team is 952 lb + 1400 lb = <<952+1400=2352>>2352 lb.

To find the mean weight, divide the total weight by the number of players, 11.

Mean weight of the 11-person team = 2352 lb / 11 players = <<2352/11=213.8181818181818>>213.82 lb. Answer: \boxed{213.82}.