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Finding the Fourth Proportional to 206.15, 282.79 and 193.73

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Solution

The fourth proportional to 206.15, 282.79 and 193.73 is: 265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.15 : 282.79 = 193.73 : x
  2. Step 2: Convert to fraction form
    206.15/282.79 = 193.73/x
  3. Step 3: Cross multiply
    206.15x = 282.79 × 193.73
  4. Step 4: Simplify right side
    206.15x = 54,783.73
  5. Step 5: Solve for x
    x = 54,783.73/206.15
  6. Step 6: Final answer
    x = 265.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.