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Finding the Fourth Proportional to 326.49, 450.49 and 195.46

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Solution

The fourth proportional to 326.49, 450.49 and 195.46 is: 269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.49 : 450.49 = 195.46 : x
  2. Step 2: Convert to fraction form
    326.49/450.49 = 195.46/x
  3. Step 3: Cross multiply
    326.49x = 450.49 × 195.46
  4. Step 4: Simplify right side
    326.49x = 88,052.78
  5. Step 5: Solve for x
    x = 88,052.78/326.49
  6. Step 6: Final answer
    x = 269.70

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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.