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Finding the Fourth Proportional to 206.22, 309.34 and 84.49

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Solution

The fourth proportional to 206.22, 309.34 and 84.49 is: 126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.22 : 309.34 = 84.49 : x
  2. Step 2: Convert to fraction form
    206.22/309.34 = 84.49/x
  3. Step 3: Cross multiply
    206.22x = 309.34 × 84.49
  4. Step 4: Simplify right side
    206.22x = 26,137.45
  5. Step 5: Solve for x
    x = 26,137.45/206.22
  6. Step 6: Final answer
    x = 126.74

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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.