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Finding the Fourth Proportional to 326.28, 450.27 and 178.91

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Solution

The fourth proportional to 326.28, 450.27 and 178.91 is: 246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.28 : 450.27 = 178.91 : x
  2. Step 2: Convert to fraction form
    326.28/450.27 = 178.91/x
  3. Step 3: Cross multiply
    326.28x = 450.27 × 178.91
  4. Step 4: Simplify right side
    326.28x = 80,559.78
  5. Step 5: Solve for x
    x = 80,559.78/326.28
  6. Step 6: Final answer
    x = 246.91

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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.