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Finding the Fourth Proportional to 299.97, 449.96 and 83.54

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Solution

The fourth proportional to 299.97, 449.96 and 83.54 is: 125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.97 : 449.96 = 83.54 : x
  2. Step 2: Convert to fraction form
    299.97/449.96 = 83.54/x
  3. Step 3: Cross multiply
    299.97x = 449.96 × 83.54
  4. Step 4: Simplify right side
    299.97x = 37,590.37
  5. Step 5: Solve for x
    x = 37,590.37/299.97
  6. Step 6: Final answer
    x = 125.31

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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.