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Finding the Fourth Proportional to 326.62, 450.76 and 179.27

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Solution

The fourth proportional to 326.62, 450.76 and 179.27 is: 247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.62 : 450.76 = 179.27 : x
  2. Step 2: Convert to fraction form
    326.62/450.76 = 179.27/x
  3. Step 3: Cross multiply
    326.62x = 450.76 × 179.27
  4. Step 4: Simplify right side
    326.62x = 80,807.75
  5. Step 5: Solve for x
    x = 80,807.75/326.62
  6. Step 6: Final answer
    x = 247.41

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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.