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Finding the Fourth Proportional to 166.30, 229.60 and 119.83

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Solution

The fourth proportional to 166.30, 229.60 and 119.83 is: 165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.30 : 229.60 = 119.83 : x
  2. Step 2: Convert to fraction form
    166.30/229.60 = 119.83/x
  3. Step 3: Cross multiply
    166.30x = 229.60 × 119.83
  4. Step 4: Simplify right side
    166.30x = 27,512.47
  5. Step 5: Solve for x
    x = 27,512.47/166.30
  6. Step 6: Final answer
    x = 165.44

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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.