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Finding the Fourth Proportional to 205.96, 308.96 and 137.56

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Solution

The fourth proportional to 205.96, 308.96 and 137.56 is: 206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.96 : 308.96 = 137.56 : x
  2. Step 2: Convert to fraction form
    205.96/308.96 = 137.56/x
  3. Step 3: Cross multiply
    205.96x = 308.96 × 137.56
  4. Step 4: Simplify right side
    205.96x = 42,500.54
  5. Step 5: Solve for x
    x = 42,500.54/205.96
  6. Step 6: Final answer
    x = 206.35

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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.