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Finding the Fourth Proportional to 180.52, 249.14 and 101.86

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Solution

The fourth proportional to 180.52, 249.14 and 101.86 is: 140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.52 : 249.14 = 101.86 : x
  2. Step 2: Convert to fraction form
    180.52/249.14 = 101.86/x
  3. Step 3: Cross multiply
    180.52x = 249.14 × 101.86
  4. Step 4: Simplify right side
    180.52x = 25,377.40
  5. Step 5: Solve for x
    x = 25,377.40/180.52
  6. Step 6: Final answer
    x = 140.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.