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Finding the Fourth Proportional to 327.33, 490.56 and 121.69

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Solution

The fourth proportional to 327.33, 490.56 and 121.69 is: 182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.33 : 490.56 = 121.69 : x
  2. Step 2: Convert to fraction form
    327.33/490.56 = 121.69/x
  3. Step 3: Cross multiply
    327.33x = 490.56 × 121.69
  4. Step 4: Simplify right side
    327.33x = 59,698.55
  5. Step 5: Solve for x
    x = 59,698.55/327.33
  6. Step 6: Final answer
    x = 182.38

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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.