Building on the previous chapter, this one extends dimensional synthesis to accommodate three finitely separated positions (3 FSP) of the moving link. The key concept introduced is the pole triangle, constructed using rotation poles, which provides a geometric foundation for determining fixed and moving pivots. The chapter explores both intuitive graphical methods and systematic geometric constructions, such as using circumcircles to identify link lengths. The synthesis process becomes more constrained as each additional position adds geometric restrictions, limiting the degrees of freedom and increasing the design complexity. Strategies for avoiding mechanism defects and ensuring satisfactory transmission angles are discussed. Worked examples, including the modification of previous 2 FSP problems, help reinforce the methodology. The chapter also offers a “fast method” for quick designs using geometric intersections. This treatment emphasizes both theoretical depth and practical design utility, making it essential for intermediate-level kinematic designers.