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Finding the Fourth Proportional to 271, 406 and 212.56

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Solution

The fourth proportional to 271, 406 and 212.56 is: 318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271 : 406 = 212.56 : x
  2. Step 2: Convert to fraction form
    271/406 = 212.56/x
  3. Step 3: Cross multiply
    271x = 406 × 212.56
  4. Step 4: Simplify right side
    271x = 86,299.36
  5. Step 5: Solve for x
    x = 86,299.36/271
  6. Step 6: Final answer
    x = 318.45

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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.