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Finding the Fourth Proportional to 207.66, 286.74 and 197.94

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Solution

The fourth proportional to 207.66, 286.74 and 197.94 is: 273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.66 : 286.74 = 197.94 : x
  2. Step 2: Convert to fraction form
    207.66/286.74 = 197.94/x
  3. Step 3: Cross multiply
    207.66x = 286.74 × 197.94
  4. Step 4: Simplify right side
    207.66x = 56,757.32
  5. Step 5: Solve for x
    x = 56,757.32/207.66
  6. Step 6: Final answer
    x = 273.32

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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.