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Finding the Fourth Proportional to 327.87, 491.85 and 122.46

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Solution

The fourth proportional to 327.87, 491.85 and 122.46 is: 183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.87 : 491.85 = 122.46 : x
  2. Step 2: Convert to fraction form
    327.87/491.85 = 122.46/x
  3. Step 3: Cross multiply
    327.87x = 491.85 × 122.46
  4. Step 4: Simplify right side
    327.87x = 60,231.95
  5. Step 5: Solve for x
    x = 60,231.95/327.87
  6. Step 6: Final answer
    x = 183.71

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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.