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Finding the Fourth Proportional to 166.62, 229.96 and 135.46

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Solution

The fourth proportional to 166.62, 229.96 and 135.46 is: 186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.62 : 229.96 = 135.46 : x
  2. Step 2: Convert to fraction form
    166.62/229.96 = 135.46/x
  3. Step 3: Cross multiply
    166.62x = 229.96 × 135.46
  4. Step 4: Simplify right side
    166.62x = 31,149.93
  5. Step 5: Solve for x
    x = 31,149.93/166.62
  6. Step 6: Final answer
    x = 186.96

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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.