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Finding the Fourth Proportional to 326.75, 450.95 and 195.80

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Solution

The fourth proportional to 326.75, 450.95 and 195.80 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.75 : 450.95 = 195.80 : x
  2. Step 2: Convert to fraction form
    326.75/450.95 = 195.80/x
  3. Step 3: Cross multiply
    326.75x = 450.95 × 195.80
  4. Step 4: Simplify right side
    326.75x = 88,292.78
  5. Step 5: Solve for x
    x = 88,292.78/326.75
  6. Step 6: Final answer
    x = 270.22

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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.