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Finding the Fourth Proportional to 299.05, 412.71 and 166.28

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Solution

The fourth proportional to 299.05, 412.71 and 166.28 is: 229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.05 : 412.71 = 166.28 : x
  2. Step 2: Convert to fraction form
    299.05/412.71 = 166.28/x
  3. Step 3: Cross multiply
    299.05x = 412.71 × 166.28
  4. Step 4: Simplify right side
    299.05x = 68,626.45
  5. Step 5: Solve for x
    x = 68,626.45/299.05
  6. Step 6: Final answer
    x = 229.48

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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.