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Finding the Fourth Proportional to 271.57, 406.99 and 109.21

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Solution

The fourth proportional to 271.57, 406.99 and 109.21 is: 163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.57 : 406.99 = 109.21 : x
  2. Step 2: Convert to fraction form
    271.57/406.99 = 109.21/x
  3. Step 3: Cross multiply
    271.57x = 406.99 × 109.21
  4. Step 4: Simplify right side
    271.57x = 44,447.38
  5. Step 5: Solve for x
    x = 44,447.38/271.57
  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.