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Finding the Fourth Proportional to 234.92, 324.02 and 179.80

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Solution

The fourth proportional to 234.92, 324.02 and 179.80 is: 247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.92 : 324.02 = 179.80 : x
  2. Step 2: Convert to fraction form
    234.92/324.02 = 179.80/x
  3. Step 3: Cross multiply
    234.92x = 324.02 × 179.80
  4. Step 4: Simplify right side
    234.92x = 58,258.80
  5. Step 5: Solve for x
    x = 58,258.80/234.92
  6. Step 6: Final answer
    x = 247.99

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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.