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Finding the Fourth Proportional to 180.08, 269.92 and 164.56

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Solution

The fourth proportional to 180.08, 269.92 and 164.56 is: 246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.08 : 269.92 = 164.56 : x
  2. Step 2: Convert to fraction form
    180.08/269.92 = 164.56/x
  3. Step 3: Cross multiply
    180.08x = 269.92 × 164.56
  4. Step 4: Simplify right side
    180.08x = 44,418.04
  5. Step 5: Solve for x
    x = 44,418.04/180.08
  6. Step 6: Final answer
    x = 246.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.