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Finding the Fourth Proportional to 206.69, 309.84 and 133.36

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Solution

The fourth proportional to 206.69, 309.84 and 133.36 is: 199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.69 : 309.84 = 133.36 : x
  2. Step 2: Convert to fraction form
    206.69/309.84 = 133.36/x
  3. Step 3: Cross multiply
    206.69x = 309.84 × 133.36
  4. Step 4: Simplify right side
    206.69x = 41,321.48
  5. Step 5: Solve for x
    x = 41,321.48/206.69
  6. Step 6: Final answer
    x = 199.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.