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Finding the Fourth Proportional to 271.82, 408.38 and 235.37

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Solution

The fourth proportional to 271.82, 408.38 and 235.37 is: 353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.82 : 408.38 = 235.37 : x
  2. Step 2: Convert to fraction form
    271.82/408.38 = 235.37/x
  3. Step 3: Cross multiply
    271.82x = 408.38 × 235.37
  4. Step 4: Simplify right side
    271.82x = 96,120.24
  5. Step 5: Solve for x
    x = 96,120.24/271.82
  6. Step 6: Final answer
    x = 353.61

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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.