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Finding the Fourth Proportional to 167.26, 230.80 and 98.26

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Solution

The fourth proportional to 167.26, 230.80 and 98.26 is: 135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.26 : 230.80 = 98.26 : x
  2. Step 2: Convert to fraction form
    167.26/230.80 = 98.26/x
  3. Step 3: Cross multiply
    167.26x = 230.80 × 98.26
  4. Step 4: Simplify right side
    167.26x = 22,678.41
  5. Step 5: Solve for x
    x = 22,678.41/167.26
  6. Step 6: Final answer
    x = 135.59

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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.