when two solvents are not miscible, small percentages can still dissolve in either. its why, when you extract things, you do more than one extraction wash. DCM actually has a solubility of about 15g per litre in water, so the 0.25% v/v solution must have some additives or just be wrong.
ethyl acetate is actually quite soluble in water, although it is not miscible - you can make an approx 1 mol l-1 solution.