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Finding the Fourth Proportional to 326.70, 450.75 and 195.75

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Solution

The fourth proportional to 326.70, 450.75 and 195.75 is: 270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.70 : 450.75 = 195.75 : x
  2. Step 2: Convert to fraction form
    326.70/450.75 = 195.75/x
  3. Step 3: Cross multiply
    326.70x = 450.75 × 195.75
  4. Step 4: Simplify right side
    326.70x = 88,234.31
  5. Step 5: Solve for x
    x = 88,234.31/326.70
  6. Step 6: Final answer
    x = 270.08

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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.