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Finding the Fourth Proportional to 254.85, 381.97 and 92.39

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Solution

The fourth proportional to 254.85, 381.97 and 92.39 is: 138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.85 : 381.97 = 92.39 : x
  2. Step 2: Convert to fraction form
    254.85/381.97 = 92.39/x
  3. Step 3: Cross multiply
    254.85x = 381.97 × 92.39
  4. Step 4: Simplify right side
    254.85x = 35,290.04
  5. Step 5: Solve for x
    x = 35,290.04/254.85
  6. Step 6: Final answer
    x = 138.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.