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Finding the Fourth Proportional to 286.32, 395.10 and 161.98

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Solution

The fourth proportional to 286.32, 395.10 and 161.98 is: 223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.32 : 395.10 = 161.98 : x
  2. Step 2: Convert to fraction form
    286.32/395.10 = 161.98/x
  3. Step 3: Cross multiply
    286.32x = 395.10 × 161.98
  4. Step 4: Simplify right side
    286.32x = 63,998.30
  5. Step 5: Solve for x
    x = 63,998.30/286.32
  6. Step 6: Final answer
    x = 223.52

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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.