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Finding the Fourth Proportional to 178.47, 246.04 and 150.73

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Solution

The fourth proportional to 178.47, 246.04 and 150.73 is: 207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.47 : 246.04 = 150.73 : x
  2. Step 2: Convert to fraction form
    178.47/246.04 = 150.73/x
  3. Step 3: Cross multiply
    178.47x = 246.04 × 150.73
  4. Step 4: Simplify right side
    178.47x = 37,084.62
  5. Step 5: Solve for x
    x = 37,084.62/178.47
  6. Step 6: Final answer
    x = 207.79

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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.