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Finding the Fourth Proportional to 167.46, 231.14 and 114.98

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Solution

The fourth proportional to 167.46, 231.14 and 114.98 is: 158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.46 : 231.14 = 114.98 : x
  2. Step 2: Convert to fraction form
    167.46/231.14 = 114.98/x
  3. Step 3: Cross multiply
    167.46x = 231.14 × 114.98
  4. Step 4: Simplify right side
    167.46x = 26,576.48
  5. Step 5: Solve for x
    x = 26,576.48/167.46
  6. Step 6: Final answer
    x = 158.71

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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.