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Finding the Fourth Proportional to 205.39, 308.09 and 97.19

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Solution

The fourth proportional to 205.39, 308.09 and 97.19 is: 145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.39 : 308.09 = 97.19 : x
  2. Step 2: Convert to fraction form
    205.39/308.09 = 97.19/x
  3. Step 3: Cross multiply
    205.39x = 308.09 × 97.19
  4. Step 4: Simplify right side
    205.39x = 29,943.27
  5. Step 5: Solve for x
    x = 29,943.27/205.39
  6. Step 6: Final answer
    x = 145.79

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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.