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Finding the Fourth Proportional to 167.82, 231.76 and 135.16

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Solution

The fourth proportional to 167.82, 231.76 and 135.16 is: 186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.82 : 231.76 = 135.16 : x
  2. Step 2: Convert to fraction form
    167.82/231.76 = 135.16/x
  3. Step 3: Cross multiply
    167.82x = 231.76 × 135.16
  4. Step 4: Simplify right side
    167.82x = 31,324.68
  5. Step 5: Solve for x
    x = 31,324.68/167.82
  6. Step 6: Final answer
    x = 186.66

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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.