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Finding the Fourth Proportional to 321.50, 481.97 and 148.05

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Solution

The fourth proportional to 321.50, 481.97 and 148.05 is: 221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.50 : 481.97 = 148.05 : x
  2. Step 2: Convert to fraction form
    321.50/481.97 = 148.05/x
  3. Step 3: Cross multiply
    321.50x = 481.97 × 148.05
  4. Step 4: Simplify right side
    321.50x = 71,356.03
  5. Step 5: Solve for x
    x = 71,356.03/321.50
  6. Step 6: Final answer
    x = 221.95

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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.