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Finding the Fourth Proportional to 367.17, 506.68 and 201.37

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Solution

The fourth proportional to 367.17, 506.68 and 201.37 is: 277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.17 : 506.68 = 201.37 : x
  2. Step 2: Convert to fraction form
    367.17/506.68 = 201.37/x
  3. Step 3: Cross multiply
    367.17x = 506.68 × 201.37
  4. Step 4: Simplify right side
    367.17x = 102,029.14
  5. Step 5: Solve for x
    x = 102,029.14/367.17
  6. Step 6: Final answer
    x = 277.88

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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.