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Finding the Fourth Proportional to 166.34, 229.41 and 119.70

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Solution

The fourth proportional to 166.34, 229.41 and 119.70 is: 165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.34 : 229.41 = 119.70 : x
  2. Step 2: Convert to fraction form
    166.34/229.41 = 119.70/x
  3. Step 3: Cross multiply
    166.34x = 229.41 × 119.70
  4. Step 4: Simplify right side
    166.34x = 27,460.38
  5. Step 5: Solve for x
    x = 27,460.38/166.34
  6. Step 6: Final answer
    x = 165.09

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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.