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Finding the Fourth Proportional to 367.02, 506.50 and 201.24

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Solution

The fourth proportional to 367.02, 506.50 and 201.24 is: 277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.02 : 506.50 = 201.24 : x
  2. Step 2: Convert to fraction form
    367.02/506.50 = 201.24/x
  3. Step 3: Cross multiply
    367.02x = 506.50 × 201.24
  4. Step 4: Simplify right side
    367.02x = 101,928.06
  5. Step 5: Solve for x
    x = 101,928.06/367.02
  6. Step 6: Final answer
    x = 277.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.