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Finding the Fourth Proportional to 327.06, 490.61 and 110.61

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Solution

The fourth proportional to 327.06, 490.61 and 110.61 is: 165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.06 : 490.61 = 110.61 : x
  2. Step 2: Convert to fraction form
    327.06/490.61 = 110.61/x
  3. Step 3: Cross multiply
    327.06x = 490.61 × 110.61
  4. Step 4: Simplify right side
    327.06x = 54,266.37
  5. Step 5: Solve for x
    x = 54,266.37/327.06
  6. Step 6: Final answer
    x = 165.92

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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.