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Finding the Fourth Proportional to 232.46, 349.14 and 223.11

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Solution

The fourth proportional to 232.46, 349.14 and 223.11 is: 335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.46 : 349.14 = 223.11 : x
  2. Step 2: Convert to fraction form
    232.46/349.14 = 223.11/x
  3. Step 3: Cross multiply
    232.46x = 349.14 × 223.11
  4. Step 4: Simplify right side
    232.46x = 77,896.63
  5. Step 5: Solve for x
    x = 77,896.63/232.46
  6. Step 6: Final answer
    x = 335.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.