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Finding the Fourth Proportional to 327.14, 490.78 and 110.66

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Solution

The fourth proportional to 327.14, 490.78 and 110.66 is: 166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.14 : 490.78 = 110.66 : x
  2. Step 2: Convert to fraction form
    327.14/490.78 = 110.66/x
  3. Step 3: Cross multiply
    327.14x = 490.78 × 110.66
  4. Step 4: Simplify right side
    327.14x = 54,309.71
  5. Step 5: Solve for x
    x = 54,309.71/327.14
  6. Step 6: Final answer
    x = 166.01

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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.