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Finding the Fourth Proportional to 237.38, 326.88 and 209.61

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Solution

The fourth proportional to 237.38, 326.88 and 209.61 is: 288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.38 : 326.88 = 209.61 : x
  2. Step 2: Convert to fraction form
    237.38/326.88 = 209.61/x
  3. Step 3: Cross multiply
    237.38x = 326.88 × 209.61
  4. Step 4: Simplify right side
    237.38x = 68,517.32
  5. Step 5: Solve for x
    x = 68,517.32/237.38
  6. Step 6: Final answer
    x = 288.65

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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.