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Finding the Fourth Proportional to 367.37, 506.96 and 201.58

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Solution

The fourth proportional to 367.37, 506.96 and 201.58 is: 278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.37 : 506.96 = 201.58 : x
  2. Step 2: Convert to fraction form
    367.37/506.96 = 201.58/x
  3. Step 3: Cross multiply
    367.37x = 506.96 × 201.58
  4. Step 4: Simplify right side
    367.37x = 102,194.77
  5. Step 5: Solve for x
    x = 102,194.77/367.37
  6. Step 6: Final answer
    x = 278.18

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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.