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Finding the Fourth Proportional to 327.97, 491.96 and 122.64

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Solution

The fourth proportional to 327.97, 491.96 and 122.64 is: 183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.97 : 491.96 = 122.64 : x
  2. Step 2: Convert to fraction form
    327.97/491.96 = 122.64/x
  3. Step 3: Cross multiply
    327.97x = 491.96 × 122.64
  4. Step 4: Simplify right side
    327.97x = 60,333.97
  5. Step 5: Solve for x
    x = 60,333.97/327.97
  6. Step 6: Final answer
    x = 183.96

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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.