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Finding the Fourth Proportional to 297.13, 409.80 and 198.97

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Solution

The fourth proportional to 297.13, 409.80 and 198.97 is: 274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.13 : 409.80 = 198.97 : x
  2. Step 2: Convert to fraction form
    297.13/409.80 = 198.97/x
  3. Step 3: Cross multiply
    297.13x = 409.80 × 198.97
  4. Step 4: Simplify right side
    297.13x = 81,537.91
  5. Step 5: Solve for x
    x = 81,537.91/297.13
  6. Step 6: Final answer
    x = 274.42

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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.