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Finding the Fourth Proportional to 327.17, 490.85 and 107.84

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Solution

The fourth proportional to 327.17, 490.85 and 107.84 is: 161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.17 : 490.85 = 107.84 : x
  2. Step 2: Convert to fraction form
    327.17/490.85 = 107.84/x
  3. Step 3: Cross multiply
    327.17x = 490.85 × 107.84
  4. Step 4: Simplify right side
    327.17x = 52,930.27
  5. Step 5: Solve for x
    x = 52,930.27/327.17
  6. Step 6: Final answer
    x = 161.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.