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Finding the Fourth Proportional to 420.80, 631.17 and 132.23

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Solution

The fourth proportional to 420.80, 631.17 and 132.23 is: 198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.80 : 631.17 = 132.23 : x
  2. Step 2: Convert to fraction form
    420.80/631.17 = 132.23/x
  3. Step 3: Cross multiply
    420.80x = 631.17 × 132.23
  4. Step 4: Simplify right side
    420.80x = 83,459.61
  5. Step 5: Solve for x
    x = 83,459.61/420.80
  6. Step 6: Final answer
    x = 198.34

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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.