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Finding the Fourth Proportional to 235.49, 324.17 and 203.97

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Solution

The fourth proportional to 235.49, 324.17 and 203.97 is: 280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.49 : 324.17 = 203.97 : x
  2. Step 2: Convert to fraction form
    235.49/324.17 = 203.97/x
  3. Step 3: Cross multiply
    235.49x = 324.17 × 203.97
  4. Step 4: Simplify right side
    235.49x = 66,119.94
  5. Step 5: Solve for x
    x = 66,119.94/235.49
  6. Step 6: Final answer
    x = 280.78

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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.