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Finding the Fourth Proportional to 144.40, 199.27 and 82.23

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Solution

The fourth proportional to 144.40, 199.27 and 82.23 is: 113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.40 : 199.27 = 82.23 : x
  2. Step 2: Convert to fraction form
    144.40/199.27 = 82.23/x
  3. Step 3: Cross multiply
    144.40x = 199.27 × 82.23
  4. Step 4: Simplify right side
    144.40x = 16,384.56
  5. Step 5: Solve for x
    x = 16,384.56/144.40
  6. Step 6: Final answer
    x = 113.47

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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.