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Finding the Fourth Proportional to 136.44, 204.24 and 132.78

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Solution

The fourth proportional to 136.44, 204.24 and 132.78 is: 198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.44 : 204.24 = 132.78 : x
  2. Step 2: Convert to fraction form
    136.44/204.24 = 132.78/x
  3. Step 3: Cross multiply
    136.44x = 204.24 × 132.78
  4. Step 4: Simplify right side
    136.44x = 27,118.99
  5. Step 5: Solve for x
    x = 27,118.99/136.44
  6. Step 6: Final answer
    x = 198.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.