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Finding the Fourth Proportional to 232.27, 321.23 and 206.42

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Solution

The fourth proportional to 232.27, 321.23 and 206.42 is: 285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.27 : 321.23 = 206.42 : x
  2. Step 2: Convert to fraction form
    232.27/321.23 = 206.42/x
  3. Step 3: Cross multiply
    232.27x = 321.23 × 206.42
  4. Step 4: Simplify right side
    232.27x = 66,305.66
  5. Step 5: Solve for x
    x = 66,305.66/232.27
  6. Step 6: Final answer
    x = 285.47

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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.