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Finding the Fourth Proportional to 244.69, 367.04 and 107.88

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Solution

The fourth proportional to 244.69, 367.04 and 107.88 is: 161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.69 : 367.04 = 107.88 : x
  2. Step 2: Convert to fraction form
    244.69/367.04 = 107.88/x
  3. Step 3: Cross multiply
    244.69x = 367.04 × 107.88
  4. Step 4: Simplify right side
    244.69x = 39,596.28
  5. Step 5: Solve for x
    x = 39,596.28/244.69
  6. Step 6: Final answer
    x = 161.82

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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.