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Finding the Fourth Proportional to 254.78, 381.93 and 92.42

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Solution

The fourth proportional to 254.78, 381.93 and 92.42 is: 138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.78 : 381.93 = 92.42 : x
  2. Step 2: Convert to fraction form
    254.78/381.93 = 92.42/x
  3. Step 3: Cross multiply
    254.78x = 381.93 × 92.42
  4. Step 4: Simplify right side
    254.78x = 35,297.97
  5. Step 5: Solve for x
    x = 35,297.97/254.78
  6. Step 6: Final answer
    x = 138.54

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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.