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Finding the Fourth Proportional to 286.24, 395.01 and 161.90

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Solution

The fourth proportional to 286.24, 395.01 and 161.90 is: 223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.24 : 395.01 = 161.90 : x
  2. Step 2: Convert to fraction form
    286.24/395.01 = 161.90/x
  3. Step 3: Cross multiply
    286.24x = 395.01 × 161.90
  4. Step 4: Simplify right side
    286.24x = 63,952.12
  5. Step 5: Solve for x
    x = 63,952.12/286.24
  6. Step 6: Final answer
    x = 223.42

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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.