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Finding the Fourth Proportional to 299.94, 449.84 and 107.57

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Solution

The fourth proportional to 299.94, 449.84 and 107.57 is: 161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.94 : 449.84 = 107.57 : x
  2. Step 2: Convert to fraction form
    299.94/449.84 = 107.57/x
  3. Step 3: Cross multiply
    299.94x = 449.84 × 107.57
  4. Step 4: Simplify right side
    299.94x = 48,389.29
  5. Step 5: Solve for x
    x = 48,389.29/299.94
  6. Step 6: Final answer
    x = 161.33

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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.