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Finding the Fourth Proportional to 271.92, 407.76 and 163.74

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Solution

The fourth proportional to 271.92, 407.76 and 163.74 is: 245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.92 : 407.76 = 163.74 : x
  2. Step 2: Convert to fraction form
    271.92/407.76 = 163.74/x
  3. Step 3: Cross multiply
    271.92x = 407.76 × 163.74
  4. Step 4: Simplify right side
    271.92x = 66,766.62
  5. Step 5: Solve for x
    x = 66,766.62/271.92
  6. Step 6: Final answer
    x = 245.54

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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.