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Finding the Fourth Proportional to 271.78, 408.28 and 163.65

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Solution

The fourth proportional to 271.78, 408.28 and 163.65 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.78 : 408.28 = 163.65 : x
  2. Step 2: Convert to fraction form
    271.78/408.28 = 163.65/x
  3. Step 3: Cross multiply
    271.78x = 408.28 × 163.65
  4. Step 4: Simplify right side
    271.78x = 66,815.02
  5. Step 5: Solve for x
    x = 66,815.02/271.78
  6. Step 6: Final answer
    x = 245.84

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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.