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Finding the Fourth Proportional to 321.23, 481.45 and 147.65

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Solution

The fourth proportional to 321.23, 481.45 and 147.65 is: 221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.23 : 481.45 = 147.65 : x
  2. Step 2: Convert to fraction form
    321.23/481.45 = 147.65/x
  3. Step 3: Cross multiply
    321.23x = 481.45 × 147.65
  4. Step 4: Simplify right side
    321.23x = 71,086.09
  5. Step 5: Solve for x
    x = 71,086.09/321.23
  6. Step 6: Final answer
    x = 221.30

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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.