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Finding the Fourth Proportional to 299.10, 412.78 and 166.33

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Solution

The fourth proportional to 299.10, 412.78 and 166.33 is: 229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.10 : 412.78 = 166.33 : x
  2. Step 2: Convert to fraction form
    299.10/412.78 = 166.33/x
  3. Step 3: Cross multiply
    299.10x = 412.78 × 166.33
  4. Step 4: Simplify right side
    299.10x = 68,656.87
  5. Step 5: Solve for x
    x = 68,656.87/299.10
  6. Step 6: Final answer
    x = 229.54

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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.