A generalized design procedure is presented for the stage by stage build-up of synchronously tuned multi-stage linear amplifiers. The individual stages herein may be near identical and either unilateralized by external passive feedback or mismatched resistively at their ports. The design can be usefully based on the average parameters of the device type selected and its circuit components.This is illustrated by the design of a high-gain amplifier with a large fractional bandwidth utilizing non-unilateral electron devices without unilateralizing feedback. A non-unilateral amplifier was constructed based upon this stage by stage design with 'average' parameters, but using transistors of non-average parameters and circuit components with a few per cent tolerance. The measurements carried out on this amplifier, whose total stages were varied from two to seven confirm the good accuracy of the theory and design.