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Finding the Fourth Proportional to 232.58, 321.21 and 213.14

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Solution

The fourth proportional to 232.58, 321.21 and 213.14 is: 294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.58 : 321.21 = 213.14 : x
  2. Step 2: Convert to fraction form
    232.58/321.21 = 213.14/x
  3. Step 3: Cross multiply
    232.58x = 321.21 × 213.14
  4. Step 4: Simplify right side
    232.58x = 68,462.70
  5. Step 5: Solve for x
    x = 68,462.70/232.58
  6. Step 6: Final answer
    x = 294.36

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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.