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Finding the Fourth Proportional to 207.97, 286.84 and 161.29

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Solution

The fourth proportional to 207.97, 286.84 and 161.29 is: 222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.97 : 286.84 = 161.29 : x
  2. Step 2: Convert to fraction form
    207.97/286.84 = 161.29/x
  3. Step 3: Cross multiply
    207.97x = 286.84 × 161.29
  4. Step 4: Simplify right side
    207.97x = 46,264.98
  5. Step 5: Solve for x
    x = 46,264.98/207.97
  6. Step 6: Final answer
    x = 222.46

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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.