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Finding the Fourth Proportional to 180.54, 249.17 and 110.61

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Solution

The fourth proportional to 180.54, 249.17 and 110.61 is: 152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.54 : 249.17 = 110.61 : x
  2. Step 2: Convert to fraction form
    180.54/249.17 = 110.61/x
  3. Step 3: Cross multiply
    180.54x = 249.17 × 110.61
  4. Step 4: Simplify right side
    180.54x = 27,560.14
  5. Step 5: Solve for x
    x = 27,560.14/180.54
  6. Step 6: Final answer
    x = 152.65

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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.