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Finding the Fourth Proportional to 327.31, 451.76 and 194.54

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Solution

The fourth proportional to 327.31, 451.76 and 194.54 is: 268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.31 : 451.76 = 194.54 : x
  2. Step 2: Convert to fraction form
    327.31/451.76 = 194.54/x
  3. Step 3: Cross multiply
    327.31x = 451.76 × 194.54
  4. Step 4: Simplify right side
    327.31x = 87,885.39
  5. Step 5: Solve for x
    x = 87,885.39/327.31
  6. Step 6: Final answer
    x = 268.51

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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.