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Finding the Fourth Proportional to 274.19, 410.85 and 196.97

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Solution

The fourth proportional to 274.19, 410.85 and 196.97 is: 295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.19 : 410.85 = 196.97 : x
  2. Step 2: Convert to fraction form
    274.19/410.85 = 196.97/x
  3. Step 3: Cross multiply
    274.19x = 410.85 × 196.97
  4. Step 4: Simplify right side
    274.19x = 80,923.07
  5. Step 5: Solve for x
    x = 80,923.07/274.19
  6. Step 6: Final answer
    x = 295.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.