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Finding the Fourth Proportional to 206.83, 286.79 and 199.91

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Solution

The fourth proportional to 206.83, 286.79 and 199.91 is: 277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.83 : 286.79 = 199.91 : x
  2. Step 2: Convert to fraction form
    206.83/286.79 = 199.91/x
  3. Step 3: Cross multiply
    206.83x = 286.79 × 199.91
  4. Step 4: Simplify right side
    206.83x = 57,330.38
  5. Step 5: Solve for x
    x = 57,330.38/206.83
  6. Step 6: Final answer
    x = 277.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.