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Finding the Fourth Proportional to 234.32, 322.68 and 168.68

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Solution

The fourth proportional to 234.32, 322.68 and 168.68 is: 232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.32 : 322.68 = 168.68 : x
  2. Step 2: Convert to fraction form
    234.32/322.68 = 168.68/x
  3. Step 3: Cross multiply
    234.32x = 322.68 × 168.68
  4. Step 4: Simplify right side
    234.32x = 54,429.66
  5. Step 5: Solve for x
    x = 54,429.66/234.32
  6. Step 6: Final answer
    x = 232.29

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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.