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Finding the Fourth Proportional to 299.38, 449.10 and 104.38

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Solution

The fourth proportional to 299.38, 449.10 and 104.38 is: 156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.38 : 449.10 = 104.38 : x
  2. Step 2: Convert to fraction form
    299.38/449.10 = 104.38/x
  3. Step 3: Cross multiply
    299.38x = 449.10 × 104.38
  4. Step 4: Simplify right side
    299.38x = 46,877.06
  5. Step 5: Solve for x
    x = 46,877.06/299.38
  6. Step 6: Final answer
    x = 156.58

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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.