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Finding the Fourth Proportional to 247.74, 341.94 and 163.82

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Solution

The fourth proportional to 247.74, 341.94 and 163.82 is: 226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.74 : 341.94 = 163.82 : x
  2. Step 2: Convert to fraction form
    247.74/341.94 = 163.82/x
  3. Step 3: Cross multiply
    247.74x = 341.94 × 163.82
  4. Step 4: Simplify right side
    247.74x = 56,014.90
  5. Step 5: Solve for x
    x = 56,014.90/247.74
  6. Step 6: Final answer
    x = 226.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.