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Finding the Fourth Proportional to 286.66, 395.40 and 199.27

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Solution

The fourth proportional to 286.66, 395.40 and 199.27 is: 274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.66 : 395.40 = 199.27 : x
  2. Step 2: Convert to fraction form
    286.66/395.40 = 199.27/x
  3. Step 3: Cross multiply
    286.66x = 395.40 × 199.27
  4. Step 4: Simplify right side
    286.66x = 78,791.36
  5. Step 5: Solve for x
    x = 78,791.36/286.66
  6. Step 6: Final answer
    x = 274.86

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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.