  We report the results of a search for 6.7 GHz methanol (CH3OH) maser emission
in OH megamaser galaxies at 0.11<z<0.27. No detections were made in the 25
objects observed down to rms noise levels of roughly 0.6 mJy in 150 kHz
channels. The OH megamaser sample includes OH emission of all observed types:
narrow and broad, physically compact and extended, variable and quiescent, and
from simple single lines to multi-component complexes to lines with high
velocity wings. Our null result indicates, for the widest possible range of OH
megamaser environments, that methanol masing does not scale with OH from
Galactic masers to megamasers. These observations, however, are not sensitive
enough to rule out methanol masing that scales with star formation from
Galactic compact HII regions to starbursts associated with major mergers. This
and previous work suggest that OH megamasers do not represent large ensembles
of individual masers associated with star forming regions. Maser models
combined with observational constraints on the physical settings of OH
megamasers indicate that 6.7 GHz methanol megamasers will not be detected by
this survey if T(dust) < 100 K or if n(CH3OH) < n(OH).
