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Finding the Fourth Proportional to 180.52, 249.14 and 106.85

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Solution

The fourth proportional to 180.52, 249.14 and 106.85 is: 147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.52 : 249.14 = 106.85 : x
  2. Step 2: Convert to fraction form
    180.52/249.14 = 106.85/x
  3. Step 3: Cross multiply
    180.52x = 249.14 × 106.85
  4. Step 4: Simplify right side
    180.52x = 26,621.50
  5. Step 5: Solve for x
    x = 26,621.50/180.52
  6. Step 6: Final answer
    x = 147.47

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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.