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Finding the Fourth Proportional to 243.62, 364.92 and 147.38

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Solution

The fourth proportional to 243.62, 364.92 and 147.38 is: 220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.62 : 364.92 = 147.38 : x
  2. Step 2: Convert to fraction form
    243.62/364.92 = 147.38/x
  3. Step 3: Cross multiply
    243.62x = 364.92 × 147.38
  4. Step 4: Simplify right side
    243.62x = 53,781.91
  5. Step 5: Solve for x
    x = 53,781.91/243.62
  6. Step 6: Final answer
    x = 220.76

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Why These Related Problems?

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