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Finding the Fourth Proportional to 207.97, 286.97 and 120.65

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Solution

The fourth proportional to 207.97, 286.97 and 120.65 is: 166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.97 : 286.97 = 120.65 : x
  2. Step 2: Convert to fraction form
    207.97/286.97 = 120.65/x
  3. Step 3: Cross multiply
    207.97x = 286.97 × 120.65
  4. Step 4: Simplify right side
    207.97x = 34,620.89
  5. Step 5: Solve for x
    x = 34,620.89/207.97
  6. Step 6: Final answer
    x = 166.47

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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.