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Finding the Fourth Proportional to 205.29, 308.07 and 109.17

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Solution

The fourth proportional to 205.29, 308.07 and 109.17 is: 163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 308.07 = 109.17 : x
  2. Step 2: Convert to fraction form
    205.29/308.07 = 109.17/x
  3. Step 3: Cross multiply
    205.29x = 308.07 × 109.17
  4. Step 4: Simplify right side
    205.29x = 33,632.00
  5. Step 5: Solve for x
    x = 33,632.00/205.29
  6. Step 6: Final answer
    x = 163.83

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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.