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Finding the Fourth Proportional to 327.20, 490.75 and 144.54

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Solution

The fourth proportional to 327.20, 490.75 and 144.54 is: 216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.20 : 490.75 = 144.54 : x
  2. Step 2: Convert to fraction form
    327.20/490.75 = 144.54/x
  3. Step 3: Cross multiply
    327.20x = 490.75 × 144.54
  4. Step 4: Simplify right side
    327.20x = 70,932.64
  5. Step 5: Solve for x
    x = 70,932.64/327.20
  6. Step 6: Final answer
    x = 216.79

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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.