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Finding the Fourth Proportional to 367.16, 506.69 and 201.36

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Solution

The fourth proportional to 367.16, 506.69 and 201.36 is: 277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.16 : 506.69 = 201.36 : x
  2. Step 2: Convert to fraction form
    367.16/506.69 = 201.36/x
  3. Step 3: Cross multiply
    367.16x = 506.69 × 201.36
  4. Step 4: Simplify right side
    367.16x = 102,028.75
  5. Step 5: Solve for x
    x = 102,028.75/367.16
  6. Step 6: Final answer
    x = 277.89

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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.