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Finding the Fourth Proportional to 286.34, 395.12 and 168.38

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Solution

The fourth proportional to 286.34, 395.12 and 168.38 is: 232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.34 : 395.12 = 168.38 : x
  2. Step 2: Convert to fraction form
    286.34/395.12 = 168.38/x
  3. Step 3: Cross multiply
    286.34x = 395.12 × 168.38
  4. Step 4: Simplify right side
    286.34x = 66,527.49
  5. Step 5: Solve for x
    x = 66,527.49/286.34
  6. Step 6: Final answer
    x = 232.34

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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.