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Finding the Fourth Proportional to 167.48, 249.94 and 149.25

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Solution

The fourth proportional to 167.48, 249.94 and 149.25 is: 222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.48 : 249.94 = 149.25 : x
  2. Step 2: Convert to fraction form
    167.48/249.94 = 149.25/x
  3. Step 3: Cross multiply
    167.48x = 249.94 × 149.25
  4. Step 4: Simplify right side
    167.48x = 37,303.55
  5. Step 5: Solve for x
    x = 37,303.55/167.48
  6. Step 6: Final answer
    x = 222.73

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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.