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Finding the Fourth Proportional to 167.35, 230.41 and 137.89

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Solution

The fourth proportional to 167.35, 230.41 and 137.89 is: 189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.35 : 230.41 = 137.89 : x
  2. Step 2: Convert to fraction form
    167.35/230.41 = 137.89/x
  3. Step 3: Cross multiply
    167.35x = 230.41 × 137.89
  4. Step 4: Simplify right side
    167.35x = 31,771.23
  5. Step 5: Solve for x
    x = 31,771.23/167.35
  6. Step 6: Final answer
    x = 189.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.