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Finding the Fourth Proportional to 367.06, 506.52 and 201.27

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Solution

The fourth proportional to 367.06, 506.52 and 201.27 is: 277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.06 : 506.52 = 201.27 : x
  2. Step 2: Convert to fraction form
    367.06/506.52 = 201.27/x
  3. Step 3: Cross multiply
    367.06x = 506.52 × 201.27
  4. Step 4: Simplify right side
    367.06x = 101,948.89
  5. Step 5: Solve for x
    x = 101,948.89/367.06
  6. Step 6: Final answer
    x = 277.74

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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.