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Finding the Fourth Proportional to 206.78, 308.34 and 183.71

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Solution

The fourth proportional to 206.78, 308.34 and 183.71 is: 273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.78 : 308.34 = 183.71 : x
  2. Step 2: Convert to fraction form
    206.78/308.34 = 183.71/x
  3. Step 3: Cross multiply
    206.78x = 308.34 × 183.71
  4. Step 4: Simplify right side
    206.78x = 56,645.91
  5. Step 5: Solve for x
    x = 56,645.91/206.78
  6. Step 6: Final answer
    x = 273.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.