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Finding the Fourth Proportional to 206.20, 309.42 and 134.20

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Solution

The fourth proportional to 206.20, 309.42 and 134.20 is: 201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.20 : 309.42 = 134.20 : x
  2. Step 2: Convert to fraction form
    206.20/309.42 = 134.20/x
  3. Step 3: Cross multiply
    206.20x = 309.42 × 134.20
  4. Step 4: Simplify right side
    206.20x = 41,524.16
  5. Step 5: Solve for x
    x = 41,524.16/206.20
  6. Step 6: Final answer
    x = 201.38

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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.