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Finding the Fourth Proportional to 271.34, 374.24 and 201.38

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Solution

The fourth proportional to 271.34, 374.24 and 201.38 is: 277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.34 : 374.24 = 201.38 : x
  2. Step 2: Convert to fraction form
    271.34/374.24 = 201.38/x
  3. Step 3: Cross multiply
    271.34x = 374.24 × 201.38
  4. Step 4: Simplify right side
    271.34x = 75,364.45
  5. Step 5: Solve for x
    x = 75,364.45/271.34
  6. Step 6: Final answer
    x = 277.75

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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.