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Finding the Fourth Proportional to 299.39, 449.03 and 82.91

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Solution

The fourth proportional to 299.39, 449.03 and 82.91 is: 124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.39 : 449.03 = 82.91 : x
  2. Step 2: Convert to fraction form
    299.39/449.03 = 82.91/x
  3. Step 3: Cross multiply
    299.39x = 449.03 × 82.91
  4. Step 4: Simplify right side
    299.39x = 37,226.42
  5. Step 5: Solve for x
    x = 37,226.42/299.39
  6. Step 6: Final answer
    x = 124.34

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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.