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Finding the Fourth Proportional to 180.66, 249.28 and 106.97

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Solution

The fourth proportional to 180.66, 249.28 and 106.97 is: 147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.66 : 249.28 = 106.97 : x
  2. Step 2: Convert to fraction form
    180.66/249.28 = 106.97/x
  3. Step 3: Cross multiply
    180.66x = 249.28 × 106.97
  4. Step 4: Simplify right side
    180.66x = 26,663.70
  5. Step 5: Solve for x
    x = 26,663.70/180.66
  6. Step 6: Final answer
    x = 147.59

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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.