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Finding the Fourth Proportional to 321.30, 482.11 and 138.64

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Solution

The fourth proportional to 321.30, 482.11 and 138.64 is: 208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.30 : 482.11 = 138.64 : x
  2. Step 2: Convert to fraction form
    321.30/482.11 = 138.64/x
  3. Step 3: Cross multiply
    321.30x = 482.11 × 138.64
  4. Step 4: Simplify right side
    321.30x = 66,839.73
  5. Step 5: Solve for x
    x = 66,839.73/321.30
  6. Step 6: Final answer
    x = 208.03

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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.