Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the door. One child pushes with a force of 165 N at a distance of 0.600 m from the hinges, and the second pushes at a distance of 0.450 m. What force (in N) must the second exert to keep the door from moving? Assume friction is negligible.

165 N * 0.600 m = f * 0.45 m

solve for f