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Finding the Fourth Proportional to 317.76, 475.97 and 163.22

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Solution

The fourth proportional to 317.76, 475.97 and 163.22 is: 244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.76 : 475.97 = 163.22 : x
  2. Step 2: Convert to fraction form
    317.76/475.97 = 163.22/x
  3. Step 3: Cross multiply
    317.76x = 475.97 × 163.22
  4. Step 4: Simplify right side
    317.76x = 77,687.82
  5. Step 5: Solve for x
    x = 77,687.82/317.76
  6. Step 6: Final answer
    x = 244.49

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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.