Self-consistent results on the properties of inhomogeneous materials are compared with results based on multiple scattering calculations for a medium containing either spherical inclusions or cylindrical inclusions. Inconsistencies are found in terms of order c2, where c is the concentration of inclusions. Thus the claims of O'Connell and Budiansky and others regarding the validity of self-consistent calculations for properties of inhomogeneous materials at nondilute concentrations are not supported.