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Finding the Fourth Proportional to 327.07, 490.66 and 110.63

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Solution

The fourth proportional to 327.07, 490.66 and 110.63 is: 165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.07 : 490.66 = 110.63 : x
  2. Step 2: Convert to fraction form
    327.07/490.66 = 110.63/x
  3. Step 3: Cross multiply
    327.07x = 490.66 × 110.63
  4. Step 4: Simplify right side
    327.07x = 54,282.67
  5. Step 5: Solve for x
    x = 54,282.67/327.07
  6. Step 6: Final answer
    x = 165.97

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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.