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Finding the Fourth Proportional to 167.34, 230.81 and 111.98

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Solution

The fourth proportional to 167.34, 230.81 and 111.98 is: 154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.34 : 230.81 = 111.98 : x
  2. Step 2: Convert to fraction form
    167.34/230.81 = 111.98/x
  3. Step 3: Cross multiply
    167.34x = 230.81 × 111.98
  4. Step 4: Simplify right side
    167.34x = 25,846.91
  5. Step 5: Solve for x
    x = 25,846.91/167.34
  6. Step 6: Final answer
    x = 154.46

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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.