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Finding the Fourth Proportional to 274.25, 378.59 and 195.73

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Solution

The fourth proportional to 274.25, 378.59 and 195.73 is: 270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.25 : 378.59 = 195.73 : x
  2. Step 2: Convert to fraction form
    274.25/378.59 = 195.73/x
  3. Step 3: Cross multiply
    274.25x = 378.59 × 195.73
  4. Step 4: Simplify right side
    274.25x = 74,101.42
  5. Step 5: Solve for x
    x = 74,101.42/274.25
  6. Step 6: Final answer
    x = 270.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.