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Finding the Fourth Proportional to 274.27, 378.57 and 157.87

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Solution

The fourth proportional to 274.27, 378.57 and 157.87 is: 217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.27 : 378.57 = 157.87 : x
  2. Step 2: Convert to fraction form
    274.27/378.57 = 157.87/x
  3. Step 3: Cross multiply
    274.27x = 378.57 × 157.87
  4. Step 4: Simplify right side
    274.27x = 59,764.85
  5. Step 5: Solve for x
    x = 59,764.85/274.27
  6. Step 6: Final answer
    x = 217.91

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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.