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Finding the Fourth Proportional to 299.05, 412.63 and 168.04

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Solution

The fourth proportional to 299.05, 412.63 and 168.04 is: 231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.05 : 412.63 = 168.04 : x
  2. Step 2: Convert to fraction form
    299.05/412.63 = 168.04/x
  3. Step 3: Cross multiply
    299.05x = 412.63 × 168.04
  4. Step 4: Simplify right side
    299.05x = 69,338.35
  5. Step 5: Solve for x
    x = 69,338.35/299.05
  6. Step 6: Final answer
    x = 231.86

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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.