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Finding the Fourth Proportional to 330, 455.22 and 199.08

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Solution

The fourth proportional to 330, 455.22 and 199.08 is: 274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330 : 455.22 = 199.08 : x
  2. Step 2: Convert to fraction form
    330/455.22 = 199.08/x
  3. Step 3: Cross multiply
    330x = 455.22 × 199.08
  4. Step 4: Simplify right side
    330x = 90,625.20
  5. Step 5: Solve for x
    x = 90,625.20/330
  6. Step 6: Final answer
    x = 274.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.