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Finding the Fourth Proportional to 274.88, 379.36 and 158.48

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Solution

The fourth proportional to 274.88, 379.36 and 158.48 is: 218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.88 : 379.36 = 158.48 : x
  2. Step 2: Convert to fraction form
    274.88/379.36 = 158.48/x
  3. Step 3: Cross multiply
    274.88x = 379.36 × 158.48
  4. Step 4: Simplify right side
    274.88x = 60,120.97
  5. Step 5: Solve for x
    x = 60,120.97/274.88
  6. Step 6: Final answer
    x = 218.72

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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.