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Finding the Fourth Proportional to 166.05, 248.46 and 164.24

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Solution

The fourth proportional to 166.05, 248.46 and 164.24 is: 245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.05 : 248.46 = 164.24 : x
  2. Step 2: Convert to fraction form
    166.05/248.46 = 164.24/x
  3. Step 3: Cross multiply
    166.05x = 248.46 × 164.24
  4. Step 4: Simplify right side
    166.05x = 40,805.83
  5. Step 5: Solve for x
    x = 40,805.83/166.05
  6. Step 6: Final answer
    x = 245.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.