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Finding the Fourth Proportional to 168.38, 231.72 and 147.74

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Solution

The fourth proportional to 168.38, 231.72 and 147.74 is: 203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.38 : 231.72 = 147.74 : x
  2. Step 2: Convert to fraction form
    168.38/231.72 = 147.74/x
  3. Step 3: Cross multiply
    168.38x = 231.72 × 147.74
  4. Step 4: Simplify right side
    168.38x = 34,234.31
  5. Step 5: Solve for x
    x = 34,234.31/168.38
  6. Step 6: Final answer
    x = 203.32

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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.