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Finding the Fourth Proportional to 234.27, 323.07 and 181.74

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Solution

The fourth proportional to 234.27, 323.07 and 181.74 is: 250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.27 : 323.07 = 181.74 : x
  2. Step 2: Convert to fraction form
    234.27/323.07 = 181.74/x
  3. Step 3: Cross multiply
    234.27x = 323.07 × 181.74
  4. Step 4: Simplify right side
    234.27x = 58,714.74
  5. Step 5: Solve for x
    x = 58,714.74/234.27
  6. Step 6: Final answer
    x = 250.63

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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.