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Finding the Fourth Proportional to 244.74, 367.08 and 107.76

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Solution

The fourth proportional to 244.74, 367.08 and 107.76 is: 161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.74 : 367.08 = 107.76 : x
  2. Step 2: Convert to fraction form
    244.74/367.08 = 107.76/x
  3. Step 3: Cross multiply
    244.74x = 367.08 × 107.76
  4. Step 4: Simplify right side
    244.74x = 39,554.71
  5. Step 5: Solve for x
    x = 39,554.71/244.74
  6. Step 6: Final answer
    x = 161.62

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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.