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Finding the Fourth Proportional to 205.98, 309.08 and 84.23

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Solution

The fourth proportional to 205.98, 309.08 and 84.23 is: 126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.98 : 309.08 = 84.23 : x
  2. Step 2: Convert to fraction form
    205.98/309.08 = 84.23/x
  3. Step 3: Cross multiply
    205.98x = 309.08 × 84.23
  4. Step 4: Simplify right side
    205.98x = 26,033.81
  5. Step 5: Solve for x
    x = 26,033.81/205.98
  6. Step 6: Final answer
    x = 126.39

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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.