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Finding the Fourth Proportional to 167.90, 251.51 and 133.73

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Solution

The fourth proportional to 167.90, 251.51 and 133.73 is: 200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.90 : 251.51 = 133.73 : x
  2. Step 2: Convert to fraction form
    167.90/251.51 = 133.73/x
  3. Step 3: Cross multiply
    167.90x = 251.51 × 133.73
  4. Step 4: Simplify right side
    167.90x = 33,632.74
  5. Step 5: Solve for x
    x = 33,632.74/167.90
  6. Step 6: Final answer
    x = 200.32

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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.