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Finding the Fourth Proportional to 286.19, 394.97 and 199.05

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Solution

The fourth proportional to 286.19, 394.97 and 199.05 is: 274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.19 : 394.97 = 199.05 : x
  2. Step 2: Convert to fraction form
    286.19/394.97 = 199.05/x
  3. Step 3: Cross multiply
    286.19x = 394.97 × 199.05
  4. Step 4: Simplify right side
    286.19x = 78,618.78
  5. Step 5: Solve for x
    x = 78,618.78/286.19
  6. Step 6: Final answer
    x = 274.71

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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.