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Finding the Fourth Proportional to 299.34, 449.08 and 82.94

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Solution

The fourth proportional to 299.34, 449.08 and 82.94 is: 124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.34 : 449.08 = 82.94 : x
  2. Step 2: Convert to fraction form
    299.34/449.08 = 82.94/x
  3. Step 3: Cross multiply
    299.34x = 449.08 × 82.94
  4. Step 4: Simplify right side
    299.34x = 37,244.24
  5. Step 5: Solve for x
    x = 37,244.24/299.34
  6. Step 6: Final answer
    x = 124.42

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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.