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Finding the Fourth Proportional to 234.29, 323.10 and 151.42

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Solution

The fourth proportional to 234.29, 323.10 and 151.42 is: 208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.29 : 323.10 = 151.42 : x
  2. Step 2: Convert to fraction form
    234.29/323.10 = 151.42/x
  3. Step 3: Cross multiply
    234.29x = 323.10 × 151.42
  4. Step 4: Simplify right side
    234.29x = 48,923.80
  5. Step 5: Solve for x
    x = 48,923.80/234.29
  6. Step 6: Final answer
    x = 208.82

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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.