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Finding the Fourth Proportional to 327.70, 491.24 and 111.13

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Solution

The fourth proportional to 327.70, 491.24 and 111.13 is: 166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.70 : 491.24 = 111.13 : x
  2. Step 2: Convert to fraction form
    327.70/491.24 = 111.13/x
  3. Step 3: Cross multiply
    327.70x = 491.24 × 111.13
  4. Step 4: Simplify right side
    327.70x = 54,591.50
  5. Step 5: Solve for x
    x = 54,591.50/327.70
  6. Step 6: Final answer
    x = 166.59

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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.