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Finding the Fourth Proportional to 180.01, 248.27 and 120.97

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Solution

The fourth proportional to 180.01, 248.27 and 120.97 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.01 : 248.27 = 120.97 : x
  2. Step 2: Convert to fraction form
    180.01/248.27 = 120.97/x
  3. Step 3: Cross multiply
    180.01x = 248.27 × 120.97
  4. Step 4: Simplify right side
    180.01x = 30,033.24
  5. Step 5: Solve for x
    x = 30,033.24/180.01
  6. Step 6: Final answer
    x = 166.85

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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.