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Finding the Fourth Proportional to 244.16, 366.23 and 81.82

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Solution

The fourth proportional to 244.16, 366.23 and 81.82 is: 122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.16 : 366.23 = 81.82 : x
  2. Step 2: Convert to fraction form
    244.16/366.23 = 81.82/x
  3. Step 3: Cross multiply
    244.16x = 366.23 × 81.82
  4. Step 4: Simplify right side
    244.16x = 29,964.94
  5. Step 5: Solve for x
    x = 29,964.94/244.16
  6. Step 6: Final answer
    x = 122.73

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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.