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Finding the Fourth Proportional to 166.26, 248.30 and 149.25

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Solution

The fourth proportional to 166.26, 248.30 and 149.25 is: 222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.26 : 248.30 = 149.25 : x
  2. Step 2: Convert to fraction form
    166.26/248.30 = 149.25/x
  3. Step 3: Cross multiply
    166.26x = 248.30 × 149.25
  4. Step 4: Simplify right side
    166.26x = 37,058.78
  5. Step 5: Solve for x
    x = 37,058.78/166.26
  6. Step 6: Final answer
    x = 222.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.