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Finding the Fourth Proportional to 299.69, 449.53 and 107.31

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Solution

The fourth proportional to 299.69, 449.53 and 107.31 is: 160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.69 : 449.53 = 107.31 : x
  2. Step 2: Convert to fraction form
    299.69/449.53 = 107.31/x
  3. Step 3: Cross multiply
    299.69x = 449.53 × 107.31
  4. Step 4: Simplify right side
    299.69x = 48,239.06
  5. Step 5: Solve for x
    x = 48,239.06/299.69
  6. Step 6: Final answer
    x = 160.96

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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.