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Finding the Fourth Proportional to 327.44, 491.24 and 132.45

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Solution

The fourth proportional to 327.44, 491.24 and 132.45 is: 198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.44 : 491.24 = 132.45 : x
  2. Step 2: Convert to fraction form
    327.44/491.24 = 132.45/x
  3. Step 3: Cross multiply
    327.44x = 491.24 × 132.45
  4. Step 4: Simplify right side
    327.44x = 65,064.74
  5. Step 5: Solve for x
    x = 65,064.74/327.44
  6. Step 6: Final answer
    x = 198.71

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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.