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Finding the Fourth Proportional to 254.85, 351.89 and 205.95

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Solution

The fourth proportional to 254.85, 351.89 and 205.95 is: 284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.85 : 351.89 = 205.95 : x
  2. Step 2: Convert to fraction form
    254.85/351.89 = 205.95/x
  3. Step 3: Cross multiply
    254.85x = 351.89 × 205.95
  4. Step 4: Simplify right side
    254.85x = 72,471.75
  5. Step 5: Solve for x
    x = 72,471.75/254.85
  6. Step 6: Final answer
    x = 284.37

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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.