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Finding the Fourth Proportional to 166.92, 229.86 and 142.44

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Solution

The fourth proportional to 166.92, 229.86 and 142.44 is: 196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.92 : 229.86 = 142.44 : x
  2. Step 2: Convert to fraction form
    166.92/229.86 = 142.44/x
  3. Step 3: Cross multiply
    166.92x = 229.86 × 142.44
  4. Step 4: Simplify right side
    166.92x = 32,741.26
  5. Step 5: Solve for x
    x = 32,741.26/166.92
  6. Step 6: Final answer
    x = 196.15

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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.