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Finding the Fourth Proportional to 234.74, 323.82 and 151.82

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Solution

The fourth proportional to 234.74, 323.82 and 151.82 is: 209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.74 : 323.82 = 151.82 : x
  2. Step 2: Convert to fraction form
    234.74/323.82 = 151.82/x
  3. Step 3: Cross multiply
    234.74x = 323.82 × 151.82
  4. Step 4: Simplify right side
    234.74x = 49,160.73
  5. Step 5: Solve for x
    x = 49,160.73/234.74
  6. Step 6: Final answer
    x = 209.43

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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.