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Finding the Fourth Proportional to 178.97, 246.92 and 113.49

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Solution

The fourth proportional to 178.97, 246.92 and 113.49 is: 156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.97 : 246.92 = 113.49 : x
  2. Step 2: Convert to fraction form
    178.97/246.92 = 113.49/x
  3. Step 3: Cross multiply
    178.97x = 246.92 × 113.49
  4. Step 4: Simplify right side
    178.97x = 28,022.38
  5. Step 5: Solve for x
    x = 28,022.38/178.97
  6. Step 6: Final answer
    x = 156.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.