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Finding the Fourth Proportional to 271.28, 374.39 and 201.42

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Solution

The fourth proportional to 271.28, 374.39 and 201.42 is: 277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.28 : 374.39 = 201.42 : x
  2. Step 2: Convert to fraction form
    271.28/374.39 = 201.42/x
  3. Step 3: Cross multiply
    271.28x = 374.39 × 201.42
  4. Step 4: Simplify right side
    271.28x = 75,408.63
  5. Step 5: Solve for x
    x = 75,408.63/271.28
  6. Step 6: Final answer
    x = 277.98

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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.