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Finding the Fourth Proportional to 234.72, 324.10 and 161.14

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Solution

The fourth proportional to 234.72, 324.10 and 161.14 is: 222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.72 : 324.10 = 161.14 : x
  2. Step 2: Convert to fraction form
    234.72/324.10 = 161.14/x
  3. Step 3: Cross multiply
    234.72x = 324.10 × 161.14
  4. Step 4: Simplify right side
    234.72x = 52,225.47
  5. Step 5: Solve for x
    x = 52,225.47/234.72
  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.