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Finding the Fourth Proportional to 330.60, 496.22 and 186.20

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Solution

The fourth proportional to 330.60, 496.22 and 186.20 is: 279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.60 : 496.22 = 186.20 : x
  2. Step 2: Convert to fraction form
    330.60/496.22 = 186.20/x
  3. Step 3: Cross multiply
    330.60x = 496.22 × 186.20
  4. Step 4: Simplify right side
    330.60x = 92,396.16
  5. Step 5: Solve for x
    x = 92,396.16/330.60
  6. Step 6: Final answer
    x = 279.48

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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.