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Finding the Fourth Proportional to 234.31, 323.22 and 196.36

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Solution

The fourth proportional to 234.31, 323.22 and 196.36 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.31 : 323.22 = 196.36 : x
  2. Step 2: Convert to fraction form
    234.31/323.22 = 196.36/x
  3. Step 3: Cross multiply
    234.31x = 323.22 × 196.36
  4. Step 4: Simplify right side
    234.31x = 63,467.48
  5. Step 5: Solve for x
    x = 63,467.48/234.31
  6. Step 6: Final answer
    x = 270.87

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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.