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Finding the Fourth Proportional to 327.44, 490.75 and 165.17

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Solution

The fourth proportional to 327.44, 490.75 and 165.17 is: 247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.44 : 490.75 = 165.17 : x
  2. Step 2: Convert to fraction form
    327.44/490.75 = 165.17/x
  3. Step 3: Cross multiply
    327.44x = 490.75 × 165.17
  4. Step 4: Simplify right side
    327.44x = 81,054.31
  5. Step 5: Solve for x
    x = 81,054.31/327.44
  6. Step 6: Final answer
    x = 247.54

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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.