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Finding the Fourth Proportional to 178.59, 246.45 and 99.92

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Solution

The fourth proportional to 178.59, 246.45 and 99.92 is: 137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.59 : 246.45 = 99.92 : x
  2. Step 2: Convert to fraction form
    178.59/246.45 = 99.92/x
  3. Step 3: Cross multiply
    178.59x = 246.45 × 99.92
  4. Step 4: Simplify right side
    178.59x = 24,624.17
  5. Step 5: Solve for x
    x = 24,624.17/178.59
  6. Step 6: Final answer
    x = 137.88

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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.