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Finding the Fourth Proportional to 206.82, 285.92 and 198.23

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Solution

The fourth proportional to 206.82, 285.92 and 198.23 is: 274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.82 : 285.92 = 198.23 : x
  2. Step 2: Convert to fraction form
    206.82/285.92 = 198.23/x
  3. Step 3: Cross multiply
    206.82x = 285.92 × 198.23
  4. Step 4: Simplify right side
    206.82x = 56,675.50
  5. Step 5: Solve for x
    x = 56,675.50/206.82
  6. Step 6: Final answer
    x = 274.03

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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.