Section 19F. Any library system providing service under an approved plan as provided in clause (3) of section nineteen C or such public library or libraries designated by the board may through the board enter into an arrangement or arrangements with libraries not included by clauses (1) and (2) of said section nineteen C as the board may determine; under the terms of which such library system or such public library or libraries designated by the board may provide, and the amount arranged to be applied only to the related costs, for the delivery and retrieval of reference and research books, periodicals and other library materials, or other services within the approved plan.