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Finding the Fourth Proportional to 271.14, 406.26 and 149.28

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Solution

The fourth proportional to 271.14, 406.26 and 149.28 is: 223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.14 : 406.26 = 149.28 : x
  2. Step 2: Convert to fraction form
    271.14/406.26 = 149.28/x
  3. Step 3: Cross multiply
    271.14x = 406.26 × 149.28
  4. Step 4: Simplify right side
    271.14x = 60,646.49
  5. Step 5: Solve for x
    x = 60,646.49/271.14
  6. Step 6: Final answer
    x = 223.67

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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.