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Finding the Fourth Proportional to 330.67, 495.91 and 138.25

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Solution

The fourth proportional to 330.67, 495.91 and 138.25 is: 207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.67 : 495.91 = 138.25 : x
  2. Step 2: Convert to fraction form
    330.67/495.91 = 138.25/x
  3. Step 3: Cross multiply
    330.67x = 495.91 × 138.25
  4. Step 4: Simplify right side
    330.67x = 68,559.56
  5. Step 5: Solve for x
    x = 68,559.56/330.67
  6. Step 6: Final answer
    x = 207.34

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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.