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Finding the Fourth Proportional to 326.31, 450.05 and 195.29

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Solution

The fourth proportional to 326.31, 450.05 and 195.29 is: 269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.31 : 450.05 = 195.29 : x
  2. Step 2: Convert to fraction form
    326.31/450.05 = 195.29/x
  3. Step 3: Cross multiply
    326.31x = 450.05 × 195.29
  4. Step 4: Simplify right side
    326.31x = 87,890.26
  5. Step 5: Solve for x
    x = 87,890.26/326.31
  6. Step 6: Final answer
    x = 269.35

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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.