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Finding the Fourth Proportional to 166.40, 229.68 and 119.84

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Solution

The fourth proportional to 166.40, 229.68 and 119.84 is: 165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.40 : 229.68 = 119.84 : x
  2. Step 2: Convert to fraction form
    166.40/229.68 = 119.84/x
  3. Step 3: Cross multiply
    166.40x = 229.68 × 119.84
  4. Step 4: Simplify right side
    166.40x = 27,524.85
  5. Step 5: Solve for x
    x = 27,524.85/166.40
  6. Step 6: Final answer
    x = 165.41

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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.