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Finding the Fourth Proportional to 232.34, 320.14 and 224.24

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Solution

The fourth proportional to 232.34, 320.14 and 224.24 is: 308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.34 : 320.14 = 224.24 : x
  2. Step 2: Convert to fraction form
    232.34/320.14 = 224.24/x
  3. Step 3: Cross multiply
    232.34x = 320.14 × 224.24
  4. Step 4: Simplify right side
    232.34x = 71,788.19
  5. Step 5: Solve for x
    x = 71,788.19/232.34
  6. Step 6: Final answer
    x = 308.98

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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.