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Finding the Fourth Proportional to 206.25, 309.36 and 84.48

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Solution

The fourth proportional to 206.25, 309.36 and 84.48 is: 126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.25 : 309.36 = 84.48 : x
  2. Step 2: Convert to fraction form
    206.25/309.36 = 84.48/x
  3. Step 3: Cross multiply
    206.25x = 309.36 × 84.48
  4. Step 4: Simplify right side
    206.25x = 26,134.73
  5. Step 5: Solve for x
    x = 26,134.73/206.25
  6. Step 6: Final answer
    x = 126.71

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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.