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Finding the Fourth Proportional to 274.98, 379.44 and 158.54

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Solution

The fourth proportional to 274.98, 379.44 and 158.54 is: 218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.98 : 379.44 = 158.54 : x
  2. Step 2: Convert to fraction form
    274.98/379.44 = 158.54/x
  3. Step 3: Cross multiply
    274.98x = 379.44 × 158.54
  4. Step 4: Simplify right side
    274.98x = 60,156.42
  5. Step 5: Solve for x
    x = 60,156.42/274.98
  6. Step 6: Final answer
    x = 218.77

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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.