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Finding the Fourth Proportional to 548.12, 822.17 and 137.25

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Solution

The fourth proportional to 548.12, 822.17 and 137.25 is: 205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.12 : 822.17 = 137.25 : x
  2. Step 2: Convert to fraction form
    548.12/822.17 = 137.25/x
  3. Step 3: Cross multiply
    548.12x = 822.17 × 137.25
  4. Step 4: Simplify right side
    548.12x = 112,843.18
  5. Step 5: Solve for x
    x = 112,843.18/548.12
  6. Step 6: Final answer
    x = 205.87

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Double scale
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Similar ratio
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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.