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Finding the Fourth Proportional to 234.81, 323.99 and 185.61

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Solution

The fourth proportional to 234.81, 323.99 and 185.61 is: 256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.81 : 323.99 = 185.61 : x
  2. Step 2: Convert to fraction form
    234.81/323.99 = 185.61/x
  3. Step 3: Cross multiply
    234.81x = 323.99 × 185.61
  4. Step 4: Simplify right side
    234.81x = 60,134.86
  5. Step 5: Solve for x
    x = 60,134.86/234.81
  6. Step 6: Final answer
    x = 256.10

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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.