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Finding the Fourth Proportional to 274.24, 378.41 and 157.78

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Solution

The fourth proportional to 274.24, 378.41 and 157.78 is: 217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 378.41 = 157.78 : x
  2. Step 2: Convert to fraction form
    274.24/378.41 = 157.78/x
  3. Step 3: Cross multiply
    274.24x = 378.41 × 157.78
  4. Step 4: Simplify right side
    274.24x = 59,706.10
  5. Step 5: Solve for x
    x = 59,706.10/274.24
  6. Step 6: Final answer
    x = 217.71

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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.