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Finding the Fourth Proportional to 327.48, 491.04 and 132.38

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Solution

The fourth proportional to 327.48, 491.04 and 132.38 is: 198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.48 : 491.04 = 132.38 : x
  2. Step 2: Convert to fraction form
    327.48/491.04 = 132.38/x
  3. Step 3: Cross multiply
    327.48x = 491.04 × 132.38
  4. Step 4: Simplify right side
    327.48x = 65,003.88
  5. Step 5: Solve for x
    x = 65,003.88/327.48
  6. Step 6: Final answer
    x = 198.50

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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.