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Finding the Fourth Proportional to 274.57, 378.92 and 158.15

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Solution

The fourth proportional to 274.57, 378.92 and 158.15 is: 218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.57 : 378.92 = 158.15 : x
  2. Step 2: Convert to fraction form
    274.57/378.92 = 158.15/x
  3. Step 3: Cross multiply
    274.57x = 378.92 × 158.15
  4. Step 4: Simplify right side
    274.57x = 59,926.20
  5. Step 5: Solve for x
    x = 59,926.20/274.57
  6. Step 6: Final answer
    x = 218.25

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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.