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Finding the Fourth Proportional to 180.66, 249.42 and 121.73

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Solution

The fourth proportional to 180.66, 249.42 and 121.73 is: 168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.66 : 249.42 = 121.73 : x
  2. Step 2: Convert to fraction form
    180.66/249.42 = 121.73/x
  3. Step 3: Cross multiply
    180.66x = 249.42 × 121.73
  4. Step 4: Simplify right side
    180.66x = 30,361.90
  5. Step 5: Solve for x
    x = 30,361.90/180.66
  6. Step 6: Final answer
    x = 168.06

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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.