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Finding the Fourth Proportional to 234.57, 323.78 and 161.07

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Solution

The fourth proportional to 234.57, 323.78 and 161.07 is: 222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.57 : 323.78 = 161.07 : x
  2. Step 2: Convert to fraction form
    234.57/323.78 = 161.07/x
  3. Step 3: Cross multiply
    234.57x = 323.78 × 161.07
  4. Step 4: Simplify right side
    234.57x = 52,150.44
  5. Step 5: Solve for x
    x = 52,150.44/234.57
  6. Step 6: Final answer
    x = 222.32

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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.