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Finding the Fourth Proportional to 271.44, 405.06 and 227.70

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Solution

The fourth proportional to 271.44, 405.06 and 227.70 is: 339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 405.06 = 227.70 : x
  2. Step 2: Convert to fraction form
    271.44/405.06 = 227.70/x
  3. Step 3: Cross multiply
    271.44x = 405.06 × 227.70
  4. Step 4: Simplify right side
    271.44x = 92,232.16
  5. Step 5: Solve for x
    x = 92,232.16/271.44
  6. Step 6: Final answer
    x = 339.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.