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Finding the Fourth Proportional to 421.52, 632.18 and 132.90

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Solution

The fourth proportional to 421.52, 632.18 and 132.90 is: 199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.52 : 632.18 = 132.90 : x
  2. Step 2: Convert to fraction form
    421.52/632.18 = 132.90/x
  3. Step 3: Cross multiply
    421.52x = 632.18 × 132.90
  4. Step 4: Simplify right side
    421.52x = 84,016.72
  5. Step 5: Solve for x
    x = 84,016.72/421.52
  6. Step 6: Final answer
    x = 199.32

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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.