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Finding the Fourth Proportional to 237.76, 327.12 and 204.88

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Solution

The fourth proportional to 237.76, 327.12 and 204.88 is: 281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.76 : 327.12 = 204.88 : x
  2. Step 2: Convert to fraction form
    237.76/327.12 = 204.88/x
  3. Step 3: Cross multiply
    237.76x = 327.12 × 204.88
  4. Step 4: Simplify right side
    237.76x = 67,020.35
  5. Step 5: Solve for x
    x = 67,020.35/237.76
  6. Step 6: Final answer
    x = 281.88

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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.