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Finding the Fourth Proportional to 330.66, 496.02 and 138.30

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Solution

The fourth proportional to 330.66, 496.02 and 138.30 is: 207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.66 : 496.02 = 138.30 : x
  2. Step 2: Convert to fraction form
    330.66/496.02 = 138.30/x
  3. Step 3: Cross multiply
    330.66x = 496.02 × 138.30
  4. Step 4: Simplify right side
    330.66x = 68,599.57
  5. Step 5: Solve for x
    x = 68,599.57/330.66
  6. Step 6: Final answer
    x = 207.46

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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.