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Finding the Fourth Proportional to 299.23, 412.91 and 168.23

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Solution

The fourth proportional to 299.23, 412.91 and 168.23 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.23 : 412.91 = 168.23 : x
  2. Step 2: Convert to fraction form
    299.23/412.91 = 168.23/x
  3. Step 3: Cross multiply
    299.23x = 412.91 × 168.23
  4. Step 4: Simplify right side
    299.23x = 69,463.85
  5. Step 5: Solve for x
    x = 69,463.85/299.23
  6. Step 6: Final answer
    x = 232.14

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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.