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Finding the Fourth Proportional to 367.13, 506.64 and 201.34

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Solution

The fourth proportional to 367.13, 506.64 and 201.34 is: 277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.13 : 506.64 = 201.34 : x
  2. Step 2: Convert to fraction form
    367.13/506.64 = 201.34/x
  3. Step 3: Cross multiply
    367.13x = 506.64 × 201.34
  4. Step 4: Simplify right side
    367.13x = 102,006.90
  5. Step 5: Solve for x
    x = 102,006.90/367.13
  6. Step 6: Final answer
    x = 277.85

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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.