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Finding the Fourth Proportional to 180.67, 249.23 and 106.96

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Solution

The fourth proportional to 180.67, 249.23 and 106.96 is: 147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.67 : 249.23 = 106.96 : x
  2. Step 2: Convert to fraction form
    180.67/249.23 = 106.96/x
  3. Step 3: Cross multiply
    180.67x = 249.23 × 106.96
  4. Step 4: Simplify right side
    180.67x = 26,657.75
  5. Step 5: Solve for x
    x = 26,657.75/180.67
  6. Step 6: Final answer
    x = 147.55

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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.