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Finding the Fourth Proportional to 271.89, 406.89 and 163.13

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Solution

The fourth proportional to 271.89, 406.89 and 163.13 is: 244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.89 : 406.89 = 163.13 : x
  2. Step 2: Convert to fraction form
    271.89/406.89 = 163.13/x
  3. Step 3: Cross multiply
    271.89x = 406.89 × 163.13
  4. Step 4: Simplify right side
    271.89x = 66,373.93
  5. Step 5: Solve for x
    x = 66,373.93/271.89
  6. Step 6: Final answer
    x = 244.12

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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.