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Finding the Fourth Proportional to 421.29, 632.00 and 132.75

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Solution

The fourth proportional to 421.29, 632.00 and 132.75 is: 199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.29 : 632.00 = 132.75 : x
  2. Step 2: Convert to fraction form
    421.29/632.00 = 132.75/x
  3. Step 3: Cross multiply
    421.29x = 632.00 × 132.75
  4. Step 4: Simplify right side
    421.29x = 83,897.34
  5. Step 5: Solve for x
    x = 83,897.34/421.29
  6. Step 6: Final answer
    x = 199.14

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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.