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Finding the Fourth Proportional to 205.96, 308.62 and 108.25

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Solution

The fourth proportional to 205.96, 308.62 and 108.25 is: 162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.96 : 308.62 = 108.25 : x
  2. Step 2: Convert to fraction form
    205.96/308.62 = 108.25/x
  3. Step 3: Cross multiply
    205.96x = 308.62 × 108.25
  4. Step 4: Simplify right side
    205.96x = 33,408.12
  5. Step 5: Solve for x
    x = 33,408.12/205.96
  6. Step 6: Final answer
    x = 162.21

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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.