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Finding the Fourth Proportional to 166.48, 248.39 and 149.08

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Solution

The fourth proportional to 166.48, 248.39 and 149.08 is: 222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.48 : 248.39 = 149.08 : x
  2. Step 2: Convert to fraction form
    166.48/248.39 = 149.08/x
  3. Step 3: Cross multiply
    166.48x = 248.39 × 149.08
  4. Step 4: Simplify right side
    166.48x = 37,029.98
  5. Step 5: Solve for x
    x = 37,029.98/166.48
  6. Step 6: Final answer
    x = 222.43

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Why These Related Problems?

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