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Finding the Fourth Proportional to 166.65, 251.30 and 164.37

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Solution

The fourth proportional to 166.65, 251.30 and 164.37 is: 247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.65 : 251.30 = 164.37 : x
  2. Step 2: Convert to fraction form
    166.65/251.30 = 164.37/x
  3. Step 3: Cross multiply
    166.65x = 251.30 × 164.37
  4. Step 4: Simplify right side
    166.65x = 41,304.92
  5. Step 5: Solve for x
    x = 41,304.92/166.65
  6. Step 6: Final answer
    x = 247.86

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