In the presence of strong electrolyte, degree of dissociation of weak electrolyte (having a common ion) gets suppressed due to common ion effect.
NH4Cl, being a strong electrolyte, dissociates as
NH4Cl⟶NH4++Cl−
and NH4OH as,
weak electrolyte NH4OH⇌ common ion NH4++OH−
Due to the presence of common ion, the degree of dissociation of NH4OH decreases. Thus, less OH− ions are produced which are sufficient only for the precipitation of hydroxides of III group radicals and not of higher group radicals.