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Finding the Fourth Proportional to 166.25, 250.70 and 164.43

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Solution

The fourth proportional to 166.25, 250.70 and 164.43 is: 247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.25 : 250.70 = 164.43 : x
  2. Step 2: Convert to fraction form
    166.25/250.70 = 164.43/x
  3. Step 3: Cross multiply
    166.25x = 250.70 × 164.43
  4. Step 4: Simplify right side
    166.25x = 41,221.78
  5. Step 5: Solve for x
    x = 41,221.78/166.25
  6. Step 6: Final answer
    x = 247.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.