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Finding the Fourth Proportional to 234.82, 324.12 and 161.20

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Solution

The fourth proportional to 234.82, 324.12 and 161.20 is: 222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.82 : 324.12 = 161.20 : x
  2. Step 2: Convert to fraction form
    234.82/324.12 = 161.20/x
  3. Step 3: Cross multiply
    234.82x = 324.12 × 161.20
  4. Step 4: Simplify right side
    234.82x = 52,248.14
  5. Step 5: Solve for x
    x = 52,248.14/234.82
  6. Step 6: Final answer
    x = 222.50

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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.