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Finding the Fourth Proportional to 299.16, 412.84 and 168.14

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Solution

The fourth proportional to 299.16, 412.84 and 168.14 is: 232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.16 : 412.84 = 168.14 : x
  2. Step 2: Convert to fraction form
    299.16/412.84 = 168.14/x
  3. Step 3: Cross multiply
    299.16x = 412.84 × 168.14
  4. Step 4: Simplify right side
    299.16x = 69,414.92
  5. Step 5: Solve for x
    x = 69,414.92/299.16
  6. Step 6: Final answer
    x = 232.03

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Why These Related Problems?

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