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Finding the Fourth Proportional to 163.44, 243.82 and 149.48

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Solution

The fourth proportional to 163.44, 243.82 and 149.48 is: 222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.44 : 243.82 = 149.48 : x
  2. Step 2: Convert to fraction form
    163.44/243.82 = 149.48/x
  3. Step 3: Cross multiply
    163.44x = 243.82 × 149.48
  4. Step 4: Simplify right side
    163.44x = 36,446.21
  5. Step 5: Solve for x
    x = 36,446.21/163.44
  6. Step 6: Final answer
    x = 222.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.