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Finding the Fourth Proportional to 205.69, 308.49 and 61.41

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Solution

The fourth proportional to 205.69, 308.49 and 61.41 is: 92.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.69 : 308.49 = 61.41 : x
  2. Step 2: Convert to fraction form
    205.69/308.49 = 61.41/x
  3. Step 3: Cross multiply
    205.69x = 308.49 × 61.41
  4. Step 4: Simplify right side
    205.69x = 18,944.14
  5. Step 5: Solve for x
    x = 18,944.14/205.69
  6. Step 6: Final answer
    x = 92.10

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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.