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Finding the Fourth Proportional to 327.46, 451.89 and 178.08

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Solution

The fourth proportional to 327.46, 451.89 and 178.08 is: 245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.46 : 451.89 = 178.08 : x
  2. Step 2: Convert to fraction form
    327.46/451.89 = 178.08/x
  3. Step 3: Cross multiply
    327.46x = 451.89 × 178.08
  4. Step 4: Simplify right side
    327.46x = 80,469.42
  5. Step 5: Solve for x
    x = 80,469.42/327.46
  6. Step 6: Final answer
    x = 245.74

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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.