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Finding the Fourth Proportional to 167.69, 231.24 and 132.67

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Solution

The fourth proportional to 167.69, 231.24 and 132.67 is: 182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.69 : 231.24 = 132.67 : x
  2. Step 2: Convert to fraction form
    167.69/231.24 = 132.67/x
  3. Step 3: Cross multiply
    167.69x = 231.24 × 132.67
  4. Step 4: Simplify right side
    167.69x = 30,678.28
  5. Step 5: Solve for x
    x = 30,678.28/167.69
  6. Step 6: Final answer
    x = 182.94

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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.