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Finding the Fourth Proportional to 166.82, 230.10 and 142.16

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Solution

The fourth proportional to 166.82, 230.10 and 142.16 is: 196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.82 : 230.10 = 142.16 : x
  2. Step 2: Convert to fraction form
    166.82/230.10 = 142.16/x
  3. Step 3: Cross multiply
    166.82x = 230.10 × 142.16
  4. Step 4: Simplify right side
    166.82x = 32,711.02
  5. Step 5: Solve for x
    x = 32,711.02/166.82
  6. Step 6: Final answer
    x = 196.09

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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.