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Finding the Fourth Proportional to 167.94, 251.36 and 142.02

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Solution

The fourth proportional to 167.94, 251.36 and 142.02 is: 212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.94 : 251.36 = 142.02 : x
  2. Step 2: Convert to fraction form
    167.94/251.36 = 142.02/x
  3. Step 3: Cross multiply
    167.94x = 251.36 × 142.02
  4. Step 4: Simplify right side
    167.94x = 35,698.15
  5. Step 5: Solve for x
    x = 35,698.15/167.94
  6. Step 6: Final answer
    x = 212.56

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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.