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Finding the Fourth Proportional to 327.06, 490.64 and 107.68

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Solution

The fourth proportional to 327.06, 490.64 and 107.68 is: 161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.06 : 490.64 = 107.68 : x
  2. Step 2: Convert to fraction form
    327.06/490.64 = 107.68/x
  3. Step 3: Cross multiply
    327.06x = 490.64 × 107.68
  4. Step 4: Simplify right side
    327.06x = 52,832.12
  5. Step 5: Solve for x
    x = 52,832.12/327.06
  6. Step 6: Final answer
    x = 161.54

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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.