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Finding the Fourth Proportional to 205.74, 308.62 and 83.94

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Solution

The fourth proportional to 205.74, 308.62 and 83.94 is: 125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.74 : 308.62 = 83.94 : x
  2. Step 2: Convert to fraction form
    205.74/308.62 = 83.94/x
  3. Step 3: Cross multiply
    205.74x = 308.62 × 83.94
  4. Step 4: Simplify right side
    205.74x = 25,905.56
  5. Step 5: Solve for x
    x = 25,905.56/205.74
  6. Step 6: Final answer
    x = 125.91

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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.