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Finding the Fourth Proportional to 171.24, 236.96 and 167.16

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Solution

The fourth proportional to 171.24, 236.96 and 167.16 is: 231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.24 : 236.96 = 167.16 : x
  2. Step 2: Convert to fraction form
    171.24/236.96 = 167.16/x
  3. Step 3: Cross multiply
    171.24x = 236.96 × 167.16
  4. Step 4: Simplify right side
    171.24x = 39,610.23
  5. Step 5: Solve for x
    x = 39,610.23/171.24
  6. Step 6: Final answer
    x = 231.31

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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.