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Finding the Fourth Proportional to 237.80, 327.24 and 204.92

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Solution

The fourth proportional to 237.80, 327.24 and 204.92 is: 281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.80 : 327.24 = 204.92 : x
  2. Step 2: Convert to fraction form
    237.80/327.24 = 204.92/x
  3. Step 3: Cross multiply
    237.80x = 327.24 × 204.92
  4. Step 4: Simplify right side
    237.80x = 67,058.02
  5. Step 5: Solve for x
    x = 67,058.02/237.80
  6. Step 6: Final answer
    x = 281.99

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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.