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Finding the Fourth Proportional to 166.30, 229.34 and 119.66

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Solution

The fourth proportional to 166.30, 229.34 and 119.66 is: 165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.30 : 229.34 = 119.66 : x
  2. Step 2: Convert to fraction form
    166.30/229.34 = 119.66/x
  3. Step 3: Cross multiply
    166.30x = 229.34 × 119.66
  4. Step 4: Simplify right side
    166.30x = 27,442.82
  5. Step 5: Solve for x
    x = 27,442.82/166.30
  6. Step 6: Final answer
    x = 165.02

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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.