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Finding the Fourth Proportional to 244.82, 367.02 and 105.98

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Solution

The fourth proportional to 244.82, 367.02 and 105.98 is: 158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.82 : 367.02 = 105.98 : x
  2. Step 2: Convert to fraction form
    244.82/367.02 = 105.98/x
  3. Step 3: Cross multiply
    244.82x = 367.02 × 105.98
  4. Step 4: Simplify right side
    244.82x = 38,896.78
  5. Step 5: Solve for x
    x = 38,896.78/244.82
  6. Step 6: Final answer
    x = 158.88

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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.