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Finding the Fourth Proportional to 167.18, 231 and 164.48

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Solution

The fourth proportional to 167.18, 231 and 164.48 is: 227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.18 : 231 = 164.48 : x
  2. Step 2: Convert to fraction form
    167.18/231 = 164.48/x
  3. Step 3: Cross multiply
    167.18x = 231 × 164.48
  4. Step 4: Simplify right side
    167.18x = 37,994.88
  5. Step 5: Solve for x
    x = 37,994.88/167.18
  6. Step 6: Final answer
    x = 227.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.