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Finding the Fourth Proportional to 142.71, 212.89 and 132.89

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Solution

The fourth proportional to 142.71, 212.89 and 132.89 is: 198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.71 : 212.89 = 132.89 : x
  2. Step 2: Convert to fraction form
    142.71/212.89 = 132.89/x
  3. Step 3: Cross multiply
    142.71x = 212.89 × 132.89
  4. Step 4: Simplify right side
    142.71x = 28,290.95
  5. Step 5: Solve for x
    x = 28,290.95/142.71
  6. Step 6: Final answer
    x = 198.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.