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Finding the Fourth Proportional to 327.04, 490.25 and 121.47

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Solution

The fourth proportional to 327.04, 490.25 and 121.47 is: 182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.04 : 490.25 = 121.47 : x
  2. Step 2: Convert to fraction form
    327.04/490.25 = 121.47/x
  3. Step 3: Cross multiply
    327.04x = 490.25 × 121.47
  4. Step 4: Simplify right side
    327.04x = 59,550.97
  5. Step 5: Solve for x
    x = 59,550.97/327.04
  6. Step 6: Final answer
    x = 182.09

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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.