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Finding the Fourth Proportional to 326.92, 451.14 and 196.00

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Solution

The fourth proportional to 326.92, 451.14 and 196.00 is: 270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.92 : 451.14 = 196.00 : x
  2. Step 2: Convert to fraction form
    326.92/451.14 = 196.00/x
  3. Step 3: Cross multiply
    326.92x = 451.14 × 196.00
  4. Step 4: Simplify right side
    326.92x = 88,423.27
  5. Step 5: Solve for x
    x = 88,423.27/326.92
  6. Step 6: Final answer
    x = 270.47

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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.