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Finding the Fourth Proportional to 167.25, 230.61 and 130.26

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Solution

The fourth proportional to 167.25, 230.61 and 130.26 is: 179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.25 : 230.61 = 130.26 : x
  2. Step 2: Convert to fraction form
    167.25/230.61 = 130.26/x
  3. Step 3: Cross multiply
    167.25x = 230.61 × 130.26
  4. Step 4: Simplify right side
    167.25x = 30,039.26
  5. Step 5: Solve for x
    x = 30,039.26/167.25
  6. Step 6: Final answer
    x = 179.61

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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.