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Finding the Fourth Proportional to 206.92, 308.26 and 194.52

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Solution

The fourth proportional to 206.92, 308.26 and 194.52 is: 289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.92 : 308.26 = 194.52 : x
  2. Step 2: Convert to fraction form
    206.92/308.26 = 194.52/x
  3. Step 3: Cross multiply
    206.92x = 308.26 × 194.52
  4. Step 4: Simplify right side
    206.92x = 59,962.74
  5. Step 5: Solve for x
    x = 59,962.74/206.92
  6. Step 6: Final answer
    x = 289.79

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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.