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Finding the Fourth Proportional to 232.26, 322.12 and 229.52

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Solution

The fourth proportional to 232.26, 322.12 and 229.52 is: 318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.26 : 322.12 = 229.52 : x
  2. Step 2: Convert to fraction form
    232.26/322.12 = 229.52/x
  3. Step 3: Cross multiply
    232.26x = 322.12 × 229.52
  4. Step 4: Simplify right side
    232.26x = 73,932.98
  5. Step 5: Solve for x
    x = 73,932.98/232.26
  6. Step 6: Final answer
    x = 318.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.