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Finding the Fourth Proportional to 205.96, 309.17 and 84.31

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Solution

The fourth proportional to 205.96, 309.17 and 84.31 is: 126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.96 : 309.17 = 84.31 : x
  2. Step 2: Convert to fraction form
    205.96/309.17 = 84.31/x
  3. Step 3: Cross multiply
    205.96x = 309.17 × 84.31
  4. Step 4: Simplify right side
    205.96x = 26,066.12
  5. Step 5: Solve for x
    x = 26,066.12/205.96
  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.