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Finding the Fourth Proportional to 320.75, 481.04 and 115.28

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Solution

The fourth proportional to 320.75, 481.04 and 115.28 is: 172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.75 : 481.04 = 115.28 : x
  2. Step 2: Convert to fraction form
    320.75/481.04 = 115.28/x
  3. Step 3: Cross multiply
    320.75x = 481.04 × 115.28
  4. Step 4: Simplify right side
    320.75x = 55,453.55
  5. Step 5: Solve for x
    x = 55,453.55/320.75
  6. Step 6: Final answer
    x = 172.89

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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.