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Finding the Fourth Proportional to 144.56, 216.84 and 137.27

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Solution

The fourth proportional to 144.56, 216.84 and 137.27 is: 205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.56 : 216.84 = 137.27 : x
  2. Step 2: Convert to fraction form
    144.56/216.84 = 137.27/x
  3. Step 3: Cross multiply
    144.56x = 216.84 × 137.27
  4. Step 4: Simplify right side
    144.56x = 29,764.54
  5. Step 5: Solve for x
    x = 29,764.54/144.56
  6. Step 6: Final answer
    x = 205.90

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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.