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Finding the Fourth Proportional to 271.94, 374.09 and 224.55

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Solution

The fourth proportional to 271.94, 374.09 and 224.55 is: 308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.94 : 374.09 = 224.55 : x
  2. Step 2: Convert to fraction form
    271.94/374.09 = 224.55/x
  3. Step 3: Cross multiply
    271.94x = 374.09 × 224.55
  4. Step 4: Simplify right side
    271.94x = 84,000.79
  5. Step 5: Solve for x
    x = 84,000.79/271.94
  6. Step 6: Final answer
    x = 308.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.