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.

[113.564, -24.778, 28.792, 144.993, -63.973, 125.941, -56.14, -85.393]
[ 0.621 -0.135  0.157  0.792 -0.35   0.688 -0.307 -0.467]

[11.893, 122.938, -45.515, -59.484, 12.016, 148.604, -47.662, -94.215, 161.234, 195.023]
[ 0.029  0.304 -0.112 -0.147  0.03   0.367 -0.118 -0.233  0.398  0.482]

[157.309, 74.744, 147.315, -76.318, 185.694, 168.699, 145.835, -5.375]

[ 0.197  0.094  0.185 -0.096  0.233  0.211  0.183 -0.007]