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Finding the Fourth Proportional to 327.27, 451.65 and 194.56

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Solution

The fourth proportional to 327.27, 451.65 and 194.56 is: 268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.27 : 451.65 = 194.56 : x
  2. Step 2: Convert to fraction form
    327.27/451.65 = 194.56/x
  3. Step 3: Cross multiply
    327.27x = 451.65 × 194.56
  4. Step 4: Simplify right side
    327.27x = 87,873.02
  5. Step 5: Solve for x
    x = 87,873.02/327.27
  6. Step 6: Final answer
    x = 268.50

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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.