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Finding the Fourth Proportional to 163.98, 246.03 and 98.97

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Solution

The fourth proportional to 163.98, 246.03 and 98.97 is: 148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.98 : 246.03 = 98.97 : x
  2. Step 2: Convert to fraction form
    163.98/246.03 = 98.97/x
  3. Step 3: Cross multiply
    163.98x = 246.03 × 98.97
  4. Step 4: Simplify right side
    163.98x = 24,349.59
  5. Step 5: Solve for x
    x = 24,349.59/163.98
  6. Step 6: Final answer
    x = 148.49

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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.