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Finding the Fourth Proportional to 326.98, 451.28 and 196.06

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Solution

The fourth proportional to 326.98, 451.28 and 196.06 is: 270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.98 : 451.28 = 196.06 : x
  2. Step 2: Convert to fraction form
    326.98/451.28 = 196.06/x
  3. Step 3: Cross multiply
    326.98x = 451.28 × 196.06
  4. Step 4: Simplify right side
    326.98x = 88,477.96
  5. Step 5: Solve for x
    x = 88,477.96/326.98
  6. Step 6: Final answer
    x = 270.59

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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.