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Finding the Fourth Proportional to 271.47, 406.26 and 222.14

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Solution

The fourth proportional to 271.47, 406.26 and 222.14 is: 332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.47 : 406.26 = 222.14 : x
  2. Step 2: Convert to fraction form
    271.47/406.26 = 222.14/x
  3. Step 3: Cross multiply
    271.47x = 406.26 × 222.14
  4. Step 4: Simplify right side
    271.47x = 90,244.57
  5. Step 5: Solve for x
    x = 90,244.57/271.47
  6. Step 6: Final answer
    x = 332.43

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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.