  The characteristic electron densities, temperatures, and thermal
distributions of 1MK active region loops are now fairly well established, but
their coronal magnetic field strengths remain undetermined. Here we present
measurements from a sample of coronal loops observed by the Extreme-ultraviolet
Imaging Spectrometer (EIS) on Hinode. We use a recently developed diagnostic
technique that involves atomic radiation modeling of the contribution of a
magnetically induced transition (MIT) to the Fe X 257.262A spectral line
intensity. We find coronal magnetic field strengths in the range of 60--150G.
We discuss some aspects of these new results in the context of previous
measurements using different spectropolarimetric techniques, and their
influence on the derived Alfv\'{e}n speeds and plasma $\beta$ in coronal loops.
