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Finding the Fourth Proportional to 274.60, 379.42 and 196.84

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Solution

The fourth proportional to 274.60, 379.42 and 196.84 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.60 : 379.42 = 196.84 : x
  2. Step 2: Convert to fraction form
    274.60/379.42 = 196.84/x
  3. Step 3: Cross multiply
    274.60x = 379.42 × 196.84
  4. Step 4: Simplify right side
    274.60x = 74,685.03
  5. Step 5: Solve for x
    x = 74,685.03/274.60
  6. Step 6: Final answer
    x = 271.98

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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.