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Finding the Fourth Proportional to 299.16, 412.81 and 166.37

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Solution

The fourth proportional to 299.16, 412.81 and 166.37 is: 229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.16 : 412.81 = 166.37 : x
  2. Step 2: Convert to fraction form
    299.16/412.81 = 166.37/x
  3. Step 3: Cross multiply
    299.16x = 412.81 × 166.37
  4. Step 4: Simplify right side
    299.16x = 68,679.98
  5. Step 5: Solve for x
    x = 68,679.98/299.16
  6. Step 6: Final answer
    x = 229.58

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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.