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Finding the Fourth Proportional to 299.21, 412.90 and 166.43

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Solution

The fourth proportional to 299.21, 412.90 and 166.43 is: 229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.21 : 412.90 = 166.43 : x
  2. Step 2: Convert to fraction form
    299.21/412.90 = 166.43/x
  3. Step 3: Cross multiply
    299.21x = 412.90 × 166.43
  4. Step 4: Simplify right side
    299.21x = 68,716.66
  5. Step 5: Solve for x
    x = 68,716.66/299.21
  6. Step 6: Final answer
    x = 229.66

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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.