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Finding the Fourth Proportional to 327.38, 451.90 and 203.25

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Solution

The fourth proportional to 327.38, 451.90 and 203.25 is: 280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.38 : 451.90 = 203.25 : x
  2. Step 2: Convert to fraction form
    327.38/451.90 = 203.25/x
  3. Step 3: Cross multiply
    327.38x = 451.90 × 203.25
  4. Step 4: Simplify right side
    327.38x = 91,848.68
  5. Step 5: Solve for x
    x = 91,848.68/327.38
  6. Step 6: Final answer
    x = 280.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.