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Finding the Fourth Proportional to 206.33, 309.26 and 84.44

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Solution

The fourth proportional to 206.33, 309.26 and 84.44 is: 126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.33 : 309.26 = 84.44 : x
  2. Step 2: Convert to fraction form
    206.33/309.26 = 84.44/x
  3. Step 3: Cross multiply
    206.33x = 309.26 × 84.44
  4. Step 4: Simplify right side
    206.33x = 26,111.95
  5. Step 5: Solve for x
    x = 26,111.95/206.33
  6. Step 6: Final answer
    x = 126.56

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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.