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Finding the Fourth Proportional to 254.78, 381.83 and 185.99

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Solution

The fourth proportional to 254.78, 381.83 and 185.99 is: 278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.78 : 381.83 = 185.99 : x
  2. Step 2: Convert to fraction form
    254.78/381.83 = 185.99/x
  3. Step 3: Cross multiply
    254.78x = 381.83 × 185.99
  4. Step 4: Simplify right side
    254.78x = 71,013.72
  5. Step 5: Solve for x
    x = 71,013.72/254.78
  6. Step 6: Final answer
    x = 278.73

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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.