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Finding the Fourth Proportional to 166.06, 227.86 and 159.58

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Solution

The fourth proportional to 166.06, 227.86 and 159.58 is: 218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.06 : 227.86 = 159.58 : x
  2. Step 2: Convert to fraction form
    166.06/227.86 = 159.58/x
  3. Step 3: Cross multiply
    166.06x = 227.86 × 159.58
  4. Step 4: Simplify right side
    166.06x = 36,361.90
  5. Step 5: Solve for x
    x = 36,361.90/166.06
  6. Step 6: Final answer
    x = 218.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.