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Finding the Fourth Proportional to 286.31, 395.08 and 161.96

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Solution

The fourth proportional to 286.31, 395.08 and 161.96 is: 223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.31 : 395.08 = 161.96 : x
  2. Step 2: Convert to fraction form
    286.31/395.08 = 161.96/x
  3. Step 3: Cross multiply
    286.31x = 395.08 × 161.96
  4. Step 4: Simplify right side
    286.31x = 63,987.16
  5. Step 5: Solve for x
    x = 63,987.16/286.31
  6. Step 6: Final answer
    x = 223.49

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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.