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Finding the Fourth Proportional to 205.46, 308.21 and 68.50

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Solution

The fourth proportional to 205.46, 308.21 and 68.50 is: 102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.46 : 308.21 = 68.50 : x
  2. Step 2: Convert to fraction form
    205.46/308.21 = 68.50/x
  3. Step 3: Cross multiply
    205.46x = 308.21 × 68.50
  4. Step 4: Simplify right side
    205.46x = 21,110.69
  5. Step 5: Solve for x
    x = 21,110.69/205.46
  6. Step 6: Final answer
    x = 102.75

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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.