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Finding the Fourth Proportional to 234.55, 323.76 and 161.11

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Solution

The fourth proportional to 234.55, 323.76 and 161.11 is: 222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.55 : 323.76 = 161.11 : x
  2. Step 2: Convert to fraction form
    234.55/323.76 = 161.11/x
  3. Step 3: Cross multiply
    234.55x = 323.76 × 161.11
  4. Step 4: Simplify right side
    234.55x = 52,160.97
  5. Step 5: Solve for x
    x = 52,160.97/234.55
  6. Step 6: Final answer
    x = 222.39

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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.