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Finding the Fourth Proportional to 330.21, 495.32 and 185.63

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Solution

The fourth proportional to 330.21, 495.32 and 185.63 is: 278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.21 : 495.32 = 185.63 : x
  2. Step 2: Convert to fraction form
    330.21/495.32 = 185.63/x
  3. Step 3: Cross multiply
    330.21x = 495.32 × 185.63
  4. Step 4: Simplify right side
    330.21x = 91,942.85
  5. Step 5: Solve for x
    x = 91,942.85/330.21
  6. Step 6: Final answer
    x = 278.44

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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.