carefully, deliberately (esp. BrE)
The school has carefully fostered its progressive image.

help (to)
be designed to

Foster is used with these nouns as the object:
appreciation, attitude, awareness, belief, child, climate, collaboration, competition, cooperation, creation, creativity, culture, development, diversity, environment, growth, harmony, illusion, independence, innovation, instability, intimacy, kid, link, love, mistrust, myth, participation, partnership, relation, relationship, sense, solidarity, spirit, teamwork, tolerance, trust, understanding, unity, value

Foster is used with these nouns:
care, father, home, kid, mother, parent