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Finding the Fourth Proportional to 180.23, 246.92 and 173.31

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Solution

The fourth proportional to 180.23, 246.92 and 173.31 is: 237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.23 : 246.92 = 173.31 : x
  2. Step 2: Convert to fraction form
    180.23/246.92 = 173.31/x
  3. Step 3: Cross multiply
    180.23x = 246.92 × 173.31
  4. Step 4: Simplify right side
    180.23x = 42,791.91
  5. Step 5: Solve for x
    x = 42,791.91/180.23
  6. Step 6: Final answer
    x = 237.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.