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Finding the Fourth Proportional to 167.42, 231 and 134.26

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Solution

The fourth proportional to 167.42, 231 and 134.26 is: 185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.42 : 231 = 134.26 : x
  2. Step 2: Convert to fraction form
    167.42/231 = 134.26/x
  3. Step 3: Cross multiply
    167.42x = 231 × 134.26
  4. Step 4: Simplify right side
    167.42x = 31,013.48
  5. Step 5: Solve for x
    x = 31,013.48/167.42
  6. Step 6: Final answer
    x = 185.24

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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.