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Finding the Fourth Proportional to 327.08, 490.31 and 164.57

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Solution

The fourth proportional to 327.08, 490.31 and 164.57 is: 246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.08 : 490.31 = 164.57 : x
  2. Step 2: Convert to fraction form
    327.08/490.31 = 164.57/x
  3. Step 3: Cross multiply
    327.08x = 490.31 × 164.57
  4. Step 4: Simplify right side
    327.08x = 80,687.04
  5. Step 5: Solve for x
    x = 80,687.04/327.08
  6. Step 6: Final answer
    x = 246.69

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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.