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Finding the Fourth Proportional to 321.70, 481.46 and 193.54

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Solution

The fourth proportional to 321.70, 481.46 and 193.54 is: 289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.70 : 481.46 = 193.54 : x
  2. Step 2: Convert to fraction form
    321.70/481.46 = 193.54/x
  3. Step 3: Cross multiply
    321.70x = 481.46 × 193.54
  4. Step 4: Simplify right side
    321.70x = 93,181.77
  5. Step 5: Solve for x
    x = 93,181.77/321.70
  6. Step 6: Final answer
    x = 289.65

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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.