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Finding the Fourth Proportional to 299.18, 412.89 and 168.23

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Solution

The fourth proportional to 299.18, 412.89 and 168.23 is: 232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.18 : 412.89 = 168.23 : x
  2. Step 2: Convert to fraction form
    299.18/412.89 = 168.23/x
  3. Step 3: Cross multiply
    299.18x = 412.89 × 168.23
  4. Step 4: Simplify right side
    299.18x = 69,460.48
  5. Step 5: Solve for x
    x = 69,460.48/299.18
  6. Step 6: Final answer
    x = 232.17

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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.