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Finding the Fourth Proportional to 314.76, 472.42 and 132.10

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Solution

The fourth proportional to 314.76, 472.42 and 132.10 is: 198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 472.42 = 132.10 : x
  2. Step 2: Convert to fraction form
    314.76/472.42 = 132.10/x
  3. Step 3: Cross multiply
    314.76x = 472.42 × 132.10
  4. Step 4: Simplify right side
    314.76x = 62,406.68
  5. Step 5: Solve for x
    x = 62,406.68/314.76
  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.