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Finding the Fourth Proportional to 177.11, 265.25 and 142.79

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Solution

The fourth proportional to 177.11, 265.25 and 142.79 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.11 : 265.25 = 142.79 : x
  2. Step 2: Convert to fraction form
    177.11/265.25 = 142.79/x
  3. Step 3: Cross multiply
    177.11x = 265.25 × 142.79
  4. Step 4: Simplify right side
    177.11x = 37,874.42
  5. Step 5: Solve for x
    x = 37,874.42/177.11
  6. Step 6: Final answer
    x = 213.85

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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.