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Finding the Fourth Proportional to 205.77, 308.96 and 197.13

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Solution

The fourth proportional to 205.77, 308.96 and 197.13 is: 295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.77 : 308.96 = 197.13 : x
  2. Step 2: Convert to fraction form
    205.77/308.96 = 197.13/x
  3. Step 3: Cross multiply
    205.77x = 308.96 × 197.13
  4. Step 4: Simplify right side
    205.77x = 60,905.78
  5. Step 5: Solve for x
    x = 60,905.78/205.77
  6. Step 6: Final answer
    x = 295.99

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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.