In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.
[213.473, 237.988, -73.638, -98.282, 169.948, 24.349, 9.67, -8.515, -20.428, 53.545]