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Finding the Fourth Proportional to 321.94, 481.71 and 192.01

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Solution

The fourth proportional to 321.94, 481.71 and 192.01 is: 287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.94 : 481.71 = 192.01 : x
  2. Step 2: Convert to fraction form
    321.94/481.71 = 192.01/x
  3. Step 3: Cross multiply
    321.94x = 481.71 × 192.01
  4. Step 4: Simplify right side
    321.94x = 92,493.02
  5. Step 5: Solve for x
    x = 92,493.02/321.94
  6. Step 6: Final answer
    x = 287.30

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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.