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Finding the Fourth Proportional to 274.78, 379.25 and 158.34

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Solution

The fourth proportional to 274.78, 379.25 and 158.34 is: 218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.78 : 379.25 = 158.34 : x
  2. Step 2: Convert to fraction form
    274.78/379.25 = 158.34/x
  3. Step 3: Cross multiply
    274.78x = 379.25 × 158.34
  4. Step 4: Simplify right side
    274.78x = 60,051.67
  5. Step 5: Solve for x
    x = 60,051.67/274.78
  6. Step 6: Final answer
    x = 218.54

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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.