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Finding the Fourth Proportional to 234.46, 323.57 and 141.23

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Solution

The fourth proportional to 234.46, 323.57 and 141.23 is: 194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.46 : 323.57 = 141.23 : x
  2. Step 2: Convert to fraction form
    234.46/323.57 = 141.23/x
  3. Step 3: Cross multiply
    234.46x = 323.57 × 141.23
  4. Step 4: Simplify right side
    234.46x = 45,695.47
  5. Step 5: Solve for x
    x = 45,695.47/234.46
  6. Step 6: Final answer
    x = 194.90

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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.