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Finding the Fourth Proportional to 327.34, 451.66 and 194.54

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Solution

The fourth proportional to 327.34, 451.66 and 194.54 is: 268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.34 : 451.66 = 194.54 : x
  2. Step 2: Convert to fraction form
    327.34/451.66 = 194.54/x
  3. Step 3: Cross multiply
    327.34x = 451.66 × 194.54
  4. Step 4: Simplify right side
    327.34x = 87,863.19
  5. Step 5: Solve for x
    x = 87,863.19/327.34
  6. Step 6: Final answer
    x = 268.42

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