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Finding the Fourth Proportional to 234.92, 324 and 161.21

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Solution

The fourth proportional to 234.92, 324 and 161.21 is: 222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.92 : 324 = 161.21 : x
  2. Step 2: Convert to fraction form
    234.92/324 = 161.21/x
  3. Step 3: Cross multiply
    234.92x = 324 × 161.21
  4. Step 4: Simplify right side
    234.92x = 52,232.04
  5. Step 5: Solve for x
    x = 52,232.04/234.92
  6. Step 6: Final answer
    x = 222.34

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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.