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Finding the Fourth Proportional to 327.21, 490.85 and 164.79

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Solution

The fourth proportional to 327.21, 490.85 and 164.79 is: 247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.21 : 490.85 = 164.79 : x
  2. Step 2: Convert to fraction form
    327.21/490.85 = 164.79/x
  3. Step 3: Cross multiply
    327.21x = 490.85 × 164.79
  4. Step 4: Simplify right side
    327.21x = 80,886.35
  5. Step 5: Solve for x
    x = 80,886.35/327.21
  6. Step 6: Final answer
    x = 247.20

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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.