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Finding the Fourth Proportional to 205.72, 308.22 and 109.24

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Solution

The fourth proportional to 205.72, 308.22 and 109.24 is: 163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.72 : 308.22 = 109.24 : x
  2. Step 2: Convert to fraction form
    205.72/308.22 = 109.24/x
  3. Step 3: Cross multiply
    205.72x = 308.22 × 109.24
  4. Step 4: Simplify right side
    205.72x = 33,669.95
  5. Step 5: Solve for x
    x = 33,669.95/205.72
  6. Step 6: Final answer
    x = 163.67

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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.