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Finding the Fourth Proportional to 320.80, 481.76 and 174.48

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Solution

The fourth proportional to 320.80, 481.76 and 174.48 is: 262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.80 : 481.76 = 174.48 : x
  2. Step 2: Convert to fraction form
    320.80/481.76 = 174.48/x
  3. Step 3: Cross multiply
    320.80x = 481.76 × 174.48
  4. Step 4: Simplify right side
    320.80x = 84,057.48
  5. Step 5: Solve for x
    x = 84,057.48/320.80
  6. Step 6: Final answer
    x = 262.02

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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.