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Finding the Fourth Proportional to 481.15, 721.05 and 192.25

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Solution

The fourth proportional to 481.15, 721.05 and 192.25 is: 288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.15 : 721.05 = 192.25 : x
  2. Step 2: Convert to fraction form
    481.15/721.05 = 192.25/x
  3. Step 3: Cross multiply
    481.15x = 721.05 × 192.25
  4. Step 4: Simplify right side
    481.15x = 138,621.86
  5. Step 5: Solve for x
    x = 138,621.86/481.15
  6. Step 6: Final answer
    x = 288.11

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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.