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Finding the Fourth Proportional to 286.25, 394.83 and 197.77

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Solution

The fourth proportional to 286.25, 394.83 and 197.77 is: 272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.25 : 394.83 = 197.77 : x
  2. Step 2: Convert to fraction form
    286.25/394.83 = 197.77/x
  3. Step 3: Cross multiply
    286.25x = 394.83 × 197.77
  4. Step 4: Simplify right side
    286.25x = 78,083.55
  5. Step 5: Solve for x
    x = 78,083.55/286.25
  6. Step 6: Final answer
    x = 272.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.