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Finding the Fourth Proportional to 171.24, 234.71 and 168.84

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Solution

The fourth proportional to 171.24, 234.71 and 168.84 is: 231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.24 : 234.71 = 168.84 : x
  2. Step 2: Convert to fraction form
    171.24/234.71 = 168.84/x
  3. Step 3: Cross multiply
    171.24x = 234.71 × 168.84
  4. Step 4: Simplify right side
    171.24x = 39,627.26
  5. Step 5: Solve for x
    x = 39,627.26/171.24
  6. Step 6: Final answer
    x = 231.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.