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Finding the Fourth Proportional to 180.69, 249.24 and 168.54

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Solution

The fourth proportional to 180.69, 249.24 and 168.54 is: 232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.69 : 249.24 = 168.54 : x
  2. Step 2: Convert to fraction form
    180.69/249.24 = 168.54/x
  3. Step 3: Cross multiply
    180.69x = 249.24 × 168.54
  4. Step 4: Simplify right side
    180.69x = 42,006.61
  5. Step 5: Solve for x
    x = 42,006.61/180.69
  6. Step 6: Final answer
    x = 232.48

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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.