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Finding the Fourth Proportional to 317.48, 476.27 and 163.28

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Solution

The fourth proportional to 317.48, 476.27 and 163.28 is: 244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.48 : 476.27 = 163.28 : x
  2. Step 2: Convert to fraction form
    317.48/476.27 = 163.28/x
  3. Step 3: Cross multiply
    317.48x = 476.27 × 163.28
  4. Step 4: Simplify right side
    317.48x = 77,763.39
  5. Step 5: Solve for x
    x = 77,763.39/317.48
  6. Step 6: Final answer
    x = 244.94

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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.