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Finding the Fourth Proportional to 271.09, 374.15 and 201.23

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Solution

The fourth proportional to 271.09, 374.15 and 201.23 is: 277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.09 : 374.15 = 201.23 : x
  2. Step 2: Convert to fraction form
    271.09/374.15 = 201.23/x
  3. Step 3: Cross multiply
    271.09x = 374.15 × 201.23
  4. Step 4: Simplify right side
    271.09x = 75,290.20
  5. Step 5: Solve for x
    x = 75,290.20/271.09
  6. Step 6: Final answer
    x = 277.73

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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.