A laboratory exercise on the concept of static equilibrium uses an apparatus called a force table. The force table consists of a round, level platform marked in degree increments about its circumference. In the center of the table sits a massless ring, to which three strings are tied. Each string is strung over a separate pulley clamped to the edge of the platform and then tied to a freely hanging mass, so that each string is under tension and the ring is suspended parallel to the table surface. There is a mass of m1 = 153 g located at 61 = 22.5\" and a second mass of m2 = 211 g located at 92 = 295\". Calculate the mass m3 and the location 03 (in degrees) that will balance the system and hold the ring stationary over the center of the platform