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Finding the Fourth Proportional to 167.77, 251.42 and 160.02

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Solution

The fourth proportional to 167.77, 251.42 and 160.02 is: 239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.77 : 251.42 = 160.02 : x
  2. Step 2: Convert to fraction form
    167.77/251.42 = 160.02/x
  3. Step 3: Cross multiply
    167.77x = 251.42 × 160.02
  4. Step 4: Simplify right side
    167.77x = 40,232.23
  5. Step 5: Solve for x
    x = 40,232.23/167.77
  6. Step 6: Final answer
    x = 239.81

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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.