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Finding the Fourth Proportional to 418.52, 627.77 and 110.37

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Solution

The fourth proportional to 418.52, 627.77 and 110.37 is: 165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.52 : 627.77 = 110.37 : x
  2. Step 2: Convert to fraction form
    418.52/627.77 = 110.37/x
  3. Step 3: Cross multiply
    418.52x = 627.77 × 110.37
  4. Step 4: Simplify right side
    418.52x = 69,286.97
  5. Step 5: Solve for x
    x = 69,286.97/418.52
  6. Step 6: Final answer
    x = 165.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.