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Finding the Fourth Proportional to 286.86, 395.46 and 193.56

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Solution

The fourth proportional to 286.86, 395.46 and 193.56 is: 266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.86 : 395.46 = 193.56 : x
  2. Step 2: Convert to fraction form
    286.86/395.46 = 193.56/x
  3. Step 3: Cross multiply
    286.86x = 395.46 × 193.56
  4. Step 4: Simplify right side
    286.86x = 76,545.24
  5. Step 5: Solve for x
    x = 76,545.24/286.86
  6. Step 6: Final answer
    x = 266.84

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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.