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Finding the Fourth Proportional to 327.60, 452.09 and 194.83

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Solution

The fourth proportional to 327.60, 452.09 and 194.83 is: 268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 452.09 = 194.83 : x
  2. Step 2: Convert to fraction form
    327.60/452.09 = 194.83/x
  3. Step 3: Cross multiply
    327.60x = 452.09 × 194.83
  4. Step 4: Simplify right side
    327.60x = 88,077.46
  5. Step 5: Solve for x
    x = 88,077.46/327.60
  6. Step 6: Final answer
    x = 268.86

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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.