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Finding the Fourth Proportional to 141.39, 213.12 and 132.48

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Solution

The fourth proportional to 141.39, 213.12 and 132.48 is: 199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.39 : 213.12 = 132.48 : x
  2. Step 2: Convert to fraction form
    141.39/213.12 = 132.48/x
  3. Step 3: Cross multiply
    141.39x = 213.12 × 132.48
  4. Step 4: Simplify right side
    141.39x = 28,234.14
  5. Step 5: Solve for x
    x = 28,234.14/141.39
  6. Step 6: Final answer
    x = 199.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.