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Finding the Fourth Proportional to 154.97, 232.46 and 118.47

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Solution

The fourth proportional to 154.97, 232.46 and 118.47 is: 177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.97 : 232.46 = 118.47 : x
  2. Step 2: Convert to fraction form
    154.97/232.46 = 118.47/x
  3. Step 3: Cross multiply
    154.97x = 232.46 × 118.47
  4. Step 4: Simplify right side
    154.97x = 27,539.54
  5. Step 5: Solve for x
    x = 27,539.54/154.97
  6. Step 6: Final answer
    x = 177.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.