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Finding the Fourth Proportional to 327.29, 451.71 and 202.97

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Solution

The fourth proportional to 327.29, 451.71 and 202.97 is: 280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.29 : 451.71 = 202.97 : x
  2. Step 2: Convert to fraction form
    327.29/451.71 = 202.97/x
  3. Step 3: Cross multiply
    327.29x = 451.71 × 202.97
  4. Step 4: Simplify right side
    327.29x = 91,684.71
  5. Step 5: Solve for x
    x = 91,684.71/327.29
  6. Step 6: Final answer
    x = 280.14

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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.