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Finding the Fourth Proportional to 330.22, 455.70 and 199.24

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Solution

The fourth proportional to 330.22, 455.70 and 199.24 is: 274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.22 : 455.70 = 199.24 : x
  2. Step 2: Convert to fraction form
    330.22/455.70 = 199.24/x
  3. Step 3: Cross multiply
    330.22x = 455.70 × 199.24
  4. Step 4: Simplify right side
    330.22x = 90,793.67
  5. Step 5: Solve for x
    x = 90,793.67/330.22
  6. Step 6: Final answer
    x = 274.95

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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.