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Finding the Fourth Proportional to 206.96, 286.20 and 182.39

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Solution

The fourth proportional to 206.96, 286.20 and 182.39 is: 252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.96 : 286.20 = 182.39 : x
  2. Step 2: Convert to fraction form
    206.96/286.20 = 182.39/x
  3. Step 3: Cross multiply
    206.96x = 286.20 × 182.39
  4. Step 4: Simplify right side
    206.96x = 52,198.59
  5. Step 5: Solve for x
    x = 52,198.59/206.96
  6. Step 6: Final answer
    x = 252.22

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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.