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Finding the Fourth Proportional to 167.79, 231.66 and 132.77

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Solution

The fourth proportional to 167.79, 231.66 and 132.77 is: 183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.79 : 231.66 = 132.77 : x
  2. Step 2: Convert to fraction form
    167.79/231.66 = 132.77/x
  3. Step 3: Cross multiply
    167.79x = 231.66 × 132.77
  4. Step 4: Simplify right side
    167.79x = 30,757.50
  5. Step 5: Solve for x
    x = 30,757.50/167.79
  6. Step 6: Final answer
    x = 183.31

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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.