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Finding the Fourth Proportional to 234.72, 322.92 and 229.25

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Solution

The fourth proportional to 234.72, 322.92 and 229.25 is: 315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.72 : 322.92 = 229.25 : x
  2. Step 2: Convert to fraction form
    234.72/322.92 = 229.25/x
  3. Step 3: Cross multiply
    234.72x = 322.92 × 229.25
  4. Step 4: Simplify right side
    234.72x = 74,027.80
  5. Step 5: Solve for x
    x = 74,027.80/234.72
  6. Step 6: Final answer
    x = 315.39

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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.