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Finding the Fourth Proportional to 180.48, 249.17 and 138.95

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Solution

The fourth proportional to 180.48, 249.17 and 138.95 is: 191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.48 : 249.17 = 138.95 : x
  2. Step 2: Convert to fraction form
    180.48/249.17 = 138.95/x
  3. Step 3: Cross multiply
    180.48x = 249.17 × 138.95
  4. Step 4: Simplify right side
    180.48x = 34,620.23
  5. Step 5: Solve for x
    x = 34,620.23/180.48
  6. Step 6: Final answer
    x = 191.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.