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Finding the Fourth Proportional to 163.98, 246.84 and 149.10

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Solution

The fourth proportional to 163.98, 246.84 and 149.10 is: 224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.98 : 246.84 = 149.10 : x
  2. Step 2: Convert to fraction form
    163.98/246.84 = 149.10/x
  3. Step 3: Cross multiply
    163.98x = 246.84 × 149.10
  4. Step 4: Simplify right side
    163.98x = 36,803.84
  5. Step 5: Solve for x
    x = 36,803.84/163.98
  6. Step 6: Final answer
    x = 224.44

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Why These Related Problems?

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