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Finding the Fourth Proportional to 206.21, 309.36 and 133.09

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Solution

The fourth proportional to 206.21, 309.36 and 133.09 is: 199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.21 : 309.36 = 133.09 : x
  2. Step 2: Convert to fraction form
    206.21/309.36 = 133.09/x
  3. Step 3: Cross multiply
    206.21x = 309.36 × 133.09
  4. Step 4: Simplify right side
    206.21x = 41,172.72
  5. Step 5: Solve for x
    x = 41,172.72/206.21
  6. Step 6: Final answer
    x = 199.66

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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.