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Finding the Fourth Proportional to 237.96, 354.13 and 227.72

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Solution

The fourth proportional to 237.96, 354.13 and 227.72 is: 338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.96 : 354.13 = 227.72 : x
  2. Step 2: Convert to fraction form
    237.96/354.13 = 227.72/x
  3. Step 3: Cross multiply
    237.96x = 354.13 × 227.72
  4. Step 4: Simplify right side
    237.96x = 80,642.48
  5. Step 5: Solve for x
    x = 80,642.48/237.96
  6. Step 6: Final answer
    x = 338.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.