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Finding the Fourth Proportional to 271.74, 408.24 and 194.94

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Solution

The fourth proportional to 271.74, 408.24 and 194.94 is: 292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.74 : 408.24 = 194.94 : x
  2. Step 2: Convert to fraction form
    271.74/408.24 = 194.94/x
  3. Step 3: Cross multiply
    271.74x = 408.24 × 194.94
  4. Step 4: Simplify right side
    271.74x = 79,582.31
  5. Step 5: Solve for x
    x = 79,582.31/271.74
  6. Step 6: Final answer
    x = 292.86

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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.