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Finding the Fourth Proportional to 180.36, 248.44 and 169.02

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Solution

The fourth proportional to 180.36, 248.44 and 169.02 is: 232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 248.44 = 169.02 : x
  2. Step 2: Convert to fraction form
    180.36/248.44 = 169.02/x
  3. Step 3: Cross multiply
    180.36x = 248.44 × 169.02
  4. Step 4: Simplify right side
    180.36x = 41,991.33
  5. Step 5: Solve for x
    x = 41,991.33/180.36
  6. Step 6: Final answer
    x = 232.82

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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.