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Finding the Fourth Proportional to 166.75, 229.80 and 120.04

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Solution

The fourth proportional to 166.75, 229.80 and 120.04 is: 165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 229.80 = 120.04 : x
  2. Step 2: Convert to fraction form
    166.75/229.80 = 120.04/x
  3. Step 3: Cross multiply
    166.75x = 229.80 × 120.04
  4. Step 4: Simplify right side
    166.75x = 27,585.21
  5. Step 5: Solve for x
    x = 27,585.21/166.75
  6. Step 6: Final answer
    x = 165.43

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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.