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Finding the Fourth Proportional to 244.96, 367.28 and 82.62

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Solution

The fourth proportional to 244.96, 367.28 and 82.62 is: 123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.96 : 367.28 = 82.62 : x
  2. Step 2: Convert to fraction form
    244.96/367.28 = 82.62/x
  3. Step 3: Cross multiply
    244.96x = 367.28 × 82.62
  4. Step 4: Simplify right side
    244.96x = 30,344.67
  5. Step 5: Solve for x
    x = 30,344.67/244.96
  6. Step 6: Final answer
    x = 123.88

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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.