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Finding the Fourth Proportional to 299.39, 448.81 and 106.97

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Solution

The fourth proportional to 299.39, 448.81 and 106.97 is: 160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.39 : 448.81 = 106.97 : x
  2. Step 2: Convert to fraction form
    299.39/448.81 = 106.97/x
  3. Step 3: Cross multiply
    299.39x = 448.81 × 106.97
  4. Step 4: Simplify right side
    299.39x = 48,006.69
  5. Step 5: Solve for x
    x = 48,006.69/299.39
  6. Step 6: Final answer
    x = 160.35

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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.