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Finding the Fourth Proportional to 207.92, 286.13 and 195.16

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Solution

The fourth proportional to 207.92, 286.13 and 195.16 is: 268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.92 : 286.13 = 195.16 : x
  2. Step 2: Convert to fraction form
    207.92/286.13 = 195.16/x
  3. Step 3: Cross multiply
    207.92x = 286.13 × 195.16
  4. Step 4: Simplify right side
    207.92x = 55,841.44
  5. Step 5: Solve for x
    x = 55,841.44/207.92
  6. Step 6: Final answer
    x = 268.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.