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Finding the Fourth Proportional to 166.56, 230.84 and 164.48

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Solution

The fourth proportional to 166.56, 230.84 and 164.48 is: 227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.56 : 230.84 = 164.48 : x
  2. Step 2: Convert to fraction form
    166.56/230.84 = 164.48/x
  3. Step 3: Cross multiply
    166.56x = 230.84 × 164.48
  4. Step 4: Simplify right side
    166.56x = 37,968.56
  5. Step 5: Solve for x
    x = 37,968.56/166.56
  6. Step 6: Final answer
    x = 227.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.