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Finding the Fourth Proportional to 205.67, 308.42 and 68.68

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Solution

The fourth proportional to 205.67, 308.42 and 68.68 is: 102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.67 : 308.42 = 68.68 : x
  2. Step 2: Convert to fraction form
    205.67/308.42 = 68.68/x
  3. Step 3: Cross multiply
    205.67x = 308.42 × 68.68
  4. Step 4: Simplify right side
    205.67x = 21,182.29
  5. Step 5: Solve for x
    x = 21,182.29/205.67
  6. Step 6: Final answer
    x = 102.99

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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.