Base for geometric fractions

Find the radix (base) in which the radix‑fractions $0.16$ , $0.20$ , $0.28$ form a geometric progression.

~5 minAnswer checked instantlyradixgeometric progression

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VII. Scales of Notation, Examples VII.b, No. 25

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).