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Finding the Fourth Proportional to 205.94, 308.81 and 68.98

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Solution

The fourth proportional to 205.94, 308.81 and 68.98 is: 103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 308.81 = 68.98 : x
  2. Step 2: Convert to fraction form
    205.94/308.81 = 68.98/x
  3. Step 3: Cross multiply
    205.94x = 308.81 × 68.98
  4. Step 4: Simplify right side
    205.94x = 21,301.37
  5. Step 5: Solve for x
    x = 21,301.37/205.94
  6. Step 6: Final answer
    x = 103.43

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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.