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Finding the Fourth Proportional to 205.11, 307.82 and 96.97

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Solution

The fourth proportional to 205.11, 307.82 and 96.97 is: 145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.11 : 307.82 = 96.97 : x
  2. Step 2: Convert to fraction form
    205.11/307.82 = 96.97/x
  3. Step 3: Cross multiply
    205.11x = 307.82 × 96.97
  4. Step 4: Simplify right side
    205.11x = 29,849.68
  5. Step 5: Solve for x
    x = 29,849.68/205.11
  6. Step 6: Final answer
    x = 145.53

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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.