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Finding the Fourth Proportional to 286.71, 395.38 and 198.05

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Solution

The fourth proportional to 286.71, 395.38 and 198.05 is: 273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.71 : 395.38 = 198.05 : x
  2. Step 2: Convert to fraction form
    286.71/395.38 = 198.05/x
  3. Step 3: Cross multiply
    286.71x = 395.38 × 198.05
  4. Step 4: Simplify right side
    286.71x = 78,305.01
  5. Step 5: Solve for x
    x = 78,305.01/286.71
  6. Step 6: Final answer
    x = 273.12

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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.