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Finding the Fourth Proportional to 180.67, 249.33 and 106.97

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Solution

The fourth proportional to 180.67, 249.33 and 106.97 is: 147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.67 : 249.33 = 106.97 : x
  2. Step 2: Convert to fraction form
    180.67/249.33 = 106.97/x
  3. Step 3: Cross multiply
    180.67x = 249.33 × 106.97
  4. Step 4: Simplify right side
    180.67x = 26,670.30
  5. Step 5: Solve for x
    x = 26,670.30/180.67
  6. Step 6: Final answer
    x = 147.62

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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.