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Finding the Fourth Proportional to 299.26, 412.99 and 173.24

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Solution

The fourth proportional to 299.26, 412.99 and 173.24 is: 239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.26 : 412.99 = 173.24 : x
  2. Step 2: Convert to fraction form
    299.26/412.99 = 173.24/x
  3. Step 3: Cross multiply
    299.26x = 412.99 × 173.24
  4. Step 4: Simplify right side
    299.26x = 71,548.15
  5. Step 5: Solve for x
    x = 71,548.15/299.26
  6. Step 6: Final answer
    x = 239.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.