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Finding the Fourth Proportional to 481.18, 721.89 and 192.64

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Solution

The fourth proportional to 481.18, 721.89 and 192.64 is: 289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.18 : 721.89 = 192.64 : x
  2. Step 2: Convert to fraction form
    481.18/721.89 = 192.64/x
  3. Step 3: Cross multiply
    481.18x = 721.89 × 192.64
  4. Step 4: Simplify right side
    481.18x = 139,064.89
  5. Step 5: Solve for x
    x = 139,064.89/481.18
  6. Step 6: Final answer
    x = 289.01

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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.