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Finding the Fourth Proportional to 167.41, 249.26 and 166.60

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Solution

The fourth proportional to 167.41, 249.26 and 166.60 is: 248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.41 : 249.26 = 166.60 : x
  2. Step 2: Convert to fraction form
    167.41/249.26 = 166.60/x
  3. Step 3: Cross multiply
    167.41x = 249.26 × 166.60
  4. Step 4: Simplify right side
    167.41x = 41,526.72
  5. Step 5: Solve for x
    x = 41,526.72/167.41
  6. Step 6: Final answer
    x = 248.05

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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.