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Finding the Fourth Proportional to 137.28, 204.99 and 132.27

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Solution

The fourth proportional to 137.28, 204.99 and 132.27 is: 197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.28 : 204.99 = 132.27 : x
  2. Step 2: Convert to fraction form
    137.28/204.99 = 132.27/x
  3. Step 3: Cross multiply
    137.28x = 204.99 × 132.27
  4. Step 4: Simplify right side
    137.28x = 27,114.03
  5. Step 5: Solve for x
    x = 27,114.03/137.28
  6. Step 6: Final answer
    x = 197.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.