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.

[-27.18, 166.941, 131.759, 2.097, 181.336, 87.503, 75.833, 114.544, -90.573, 195.907]
[-0.032  0.199  0.157  0.003  0.216  0.104  0.09   0.137 -0.108  0.234]