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Finding the Fourth Proportional to 166.10, 248.92 and 161.17

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Solution

The fourth proportional to 166.10, 248.92 and 161.17 is: 241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.10 : 248.92 = 161.17 : x
  2. Step 2: Convert to fraction form
    166.10/248.92 = 161.17/x
  3. Step 3: Cross multiply
    166.10x = 248.92 × 161.17
  4. Step 4: Simplify right side
    166.10x = 40,117.41
  5. Step 5: Solve for x
    x = 40,117.41/166.10
  6. Step 6: Final answer
    x = 241.53

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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.