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Finding the Fourth Proportional to 142.64, 212.90 and 132.47

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Solution

The fourth proportional to 142.64, 212.90 and 132.47 is: 197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.64 : 212.90 = 132.47 : x
  2. Step 2: Convert to fraction form
    142.64/212.90 = 132.47/x
  3. Step 3: Cross multiply
    142.64x = 212.90 × 132.47
  4. Step 4: Simplify right side
    142.64x = 28,202.86
  5. Step 5: Solve for x
    x = 28,202.86/142.64
  6. Step 6: Final answer
    x = 197.72

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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.