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Finding the Fourth Proportional to 167.36, 231.00 and 109.13

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Solution

The fourth proportional to 167.36, 231.00 and 109.13 is: 150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.36 : 231.00 = 109.13 : x
  2. Step 2: Convert to fraction form
    167.36/231.00 = 109.13/x
  3. Step 3: Cross multiply
    167.36x = 231.00 × 109.13
  4. Step 4: Simplify right side
    167.36x = 25,207.47
  5. Step 5: Solve for x
    x = 25,207.47/167.36
  6. Step 6: Final answer
    x = 150.62

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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.