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Finding the Fourth Proportional to 180.56, 249.17 and 97.66

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Solution

The fourth proportional to 180.56, 249.17 and 97.66 is: 134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.56 : 249.17 = 97.66 : x
  2. Step 2: Convert to fraction form
    180.56/249.17 = 97.66/x
  3. Step 3: Cross multiply
    180.56x = 249.17 × 97.66
  4. Step 4: Simplify right side
    180.56x = 24,334.32
  5. Step 5: Solve for x
    x = 24,334.32/180.56
  6. Step 6: Final answer
    x = 134.77

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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.