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Finding the Fourth Proportional to 271.41, 406.35 and 211.25

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Solution

The fourth proportional to 271.41, 406.35 and 211.25 is: 316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.41 : 406.35 = 211.25 : x
  2. Step 2: Convert to fraction form
    271.41/406.35 = 211.25/x
  3. Step 3: Cross multiply
    271.41x = 406.35 × 211.25
  4. Step 4: Simplify right side
    271.41x = 85,839.41
  5. Step 5: Solve for x
    x = 85,839.41/271.41
  6. Step 6: Final answer
    x = 316.27

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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.