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Finding the Fourth Proportional to 167.84, 230.37 and 160.80

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Solution

The fourth proportional to 167.84, 230.37 and 160.80 is: 220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.84 : 230.37 = 160.80 : x
  2. Step 2: Convert to fraction form
    167.84/230.37 = 160.80/x
  3. Step 3: Cross multiply
    167.84x = 230.37 × 160.80
  4. Step 4: Simplify right side
    167.84x = 37,043.50
  5. Step 5: Solve for x
    x = 37,043.50/167.84
  6. Step 6: Final answer
    x = 220.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.