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Finding the Fourth Proportional to 163.80, 246.62 and 144.66

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Solution

The fourth proportional to 163.80, 246.62 and 144.66 is: 217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.80 : 246.62 = 144.66 : x
  2. Step 2: Convert to fraction form
    163.80/246.62 = 144.66/x
  3. Step 3: Cross multiply
    163.80x = 246.62 × 144.66
  4. Step 4: Simplify right side
    163.80x = 35,676.05
  5. Step 5: Solve for x
    x = 35,676.05/163.80
  6. Step 6: Final answer
    x = 217.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.