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.

[121.722, 110.981, 3.171]
[0.516 0.471 0.013]

[173.704, 136.055, 20.303, 72.445, 20.653, 149.533]
[0.303 0.238 0.035 0.126 0.036 0.261]

[-40.464, 89.31, 9.354, -66.801, -79.293, 75.378, 106.269, -99.079, 120.199, 150.995]
[-0.152 0.336 0.035 -0.251 -0.298 0.284 0.4 -0.373 0.452 0.568]