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Finding the Fourth Proportional to 237.90, 327.96 and 204.56

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Solution

The fourth proportional to 237.90, 327.96 and 204.56 is: 281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.90 : 327.96 = 204.56 : x
  2. Step 2: Convert to fraction form
    237.90/327.96 = 204.56/x
  3. Step 3: Cross multiply
    237.90x = 327.96 × 204.56
  4. Step 4: Simplify right side
    237.90x = 67,086.51
  5. Step 5: Solve for x
    x = 67,086.51/237.90
  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.