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Finding the Fourth Proportional to 326.97, 490.34 and 178.70

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Solution

The fourth proportional to 326.97, 490.34 and 178.70 is: 267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.97 : 490.34 = 178.70 : x
  2. Step 2: Convert to fraction form
    326.97/490.34 = 178.70/x
  3. Step 3: Cross multiply
    326.97x = 490.34 × 178.70
  4. Step 4: Simplify right side
    326.97x = 87,621.75
  5. Step 5: Solve for x
    x = 87,621.75/326.97
  6. Step 6: Final answer
    x = 267.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.