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Finding the Fourth Proportional to 314.72, 471.77 and 132.27

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Solution

The fourth proportional to 314.72, 471.77 and 132.27 is: 198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.72 : 471.77 = 132.27 : x
  2. Step 2: Convert to fraction form
    314.72/471.77 = 132.27/x
  3. Step 3: Cross multiply
    314.72x = 471.77 × 132.27
  4. Step 4: Simplify right side
    314.72x = 62,401.02
  5. Step 5: Solve for x
    x = 62,401.02/314.72
  6. Step 6: Final answer
    x = 198.27

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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.