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Finding the Fourth Proportional to 367.29, 506.86 and 201.50

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Solution

The fourth proportional to 367.29, 506.86 and 201.50 is: 278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.29 : 506.86 = 201.50 : x
  2. Step 2: Convert to fraction form
    367.29/506.86 = 201.50/x
  3. Step 3: Cross multiply
    367.29x = 506.86 × 201.50
  4. Step 4: Simplify right side
    367.29x = 102,132.18
  5. Step 5: Solve for x
    x = 102,132.18/367.29
  6. Step 6: Final answer
    x = 278.07

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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.