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Finding the Fourth Proportional to 206.56, 309.78 and 84.82

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Solution

The fourth proportional to 206.56, 309.78 and 84.82 is: 127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.56 : 309.78 = 84.82 : x
  2. Step 2: Convert to fraction form
    206.56/309.78 = 84.82/x
  3. Step 3: Cross multiply
    206.56x = 309.78 × 84.82
  4. Step 4: Simplify right side
    206.56x = 26,275.54
  5. Step 5: Solve for x
    x = 26,275.54/206.56
  6. Step 6: Final answer
    x = 127.21

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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.