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Finding the Fourth Proportional to 286.16, 395.02 and 193

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Solution

The fourth proportional to 286.16, 395.02 and 193 is: 266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.16 : 395.02 = 193 : x
  2. Step 2: Convert to fraction form
    286.16/395.02 = 193/x
  3. Step 3: Cross multiply
    286.16x = 395.02 × 193
  4. Step 4: Simplify right side
    286.16x = 76,238.86
  5. Step 5: Solve for x
    x = 76,238.86/286.16
  6. Step 6: Final answer
    x = 266.42

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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.