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.

[112.224, 166.663, 38.843, 87.432]
[0.277 0.411 0.096 0.216]

[-22.771, 214.763, -40.308, 84.107]
[-0.097  0.911 -0.171  0.357]

[91.241, -24.54, 108.741, -15.038, 79.356, 137.802, 209.109, -23.508, -95.352, 144.016]

[ 0.149 -0.04   0.178 -0.025  0.13   0.225  0.342 -0.038 -0.156  0.235]