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Finding the Fourth Proportional to 327.94, 452.56 and 178.57

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Solution

The fourth proportional to 327.94, 452.56 and 178.57 is: 246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.94 : 452.56 = 178.57 : x
  2. Step 2: Convert to fraction form
    327.94/452.56 = 178.57/x
  3. Step 3: Cross multiply
    327.94x = 452.56 × 178.57
  4. Step 4: Simplify right side
    327.94x = 80,813.64
  5. Step 5: Solve for x
    x = 80,813.64/327.94
  6. Step 6: Final answer
    x = 246.43

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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.