A packaging device generally includes a flexible inner container, a flexible outer container, and a one-way valve in fluid communication with the inner container. Articles to be packaged are contained within the inner container, and the inner container is positioned within the outer container. When the containers are closed and pressure is applied to the outer container, ambient fluid trapped within the outer container transfers the pressure to the inner container, thereby urging fluid flow from the inner container, through the one-way valve, and out of the packaging device.