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Finding the Fourth Proportional to 327.80, 452.36 and 178.42

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Solution

The fourth proportional to 327.80, 452.36 and 178.42 is: 246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.80 : 452.36 = 178.42 : x
  2. Step 2: Convert to fraction form
    327.80/452.36 = 178.42/x
  3. Step 3: Cross multiply
    327.80x = 452.36 × 178.42
  4. Step 4: Simplify right side
    327.80x = 80,709.39
  5. Step 5: Solve for x
    x = 80,709.39/327.80
  6. Step 6: Final answer
    x = 246.22

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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.