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Finding the Fourth Proportional to 299.42, 449.06 and 82.96

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Solution

The fourth proportional to 299.42, 449.06 and 82.96 is: 124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.42 : 449.06 = 82.96 : x
  2. Step 2: Convert to fraction form
    299.42/449.06 = 82.96/x
  3. Step 3: Cross multiply
    299.42x = 449.06 × 82.96
  4. Step 4: Simplify right side
    299.42x = 37,254.02
  5. Step 5: Solve for x
    x = 37,254.02/299.42
  6. Step 6: Final answer
    x = 124.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.