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Finding the Fourth Proportional to 299.18, 412.82 and 166.40

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Solution

The fourth proportional to 299.18, 412.82 and 166.40 is: 229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.18 : 412.82 = 166.40 : x
  2. Step 2: Convert to fraction form
    299.18/412.82 = 166.40/x
  3. Step 3: Cross multiply
    299.18x = 412.82 × 166.40
  4. Step 4: Simplify right side
    299.18x = 68,693.25
  5. Step 5: Solve for x
    x = 68,693.25/299.18
  6. Step 6: Final answer
    x = 229.61

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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.