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Finding the Fourth Proportional to 330.21, 455.58 and 199.20

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Solution

The fourth proportional to 330.21, 455.58 and 199.20 is: 274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.21 : 455.58 = 199.20 : x
  2. Step 2: Convert to fraction form
    330.21/455.58 = 199.20/x
  3. Step 3: Cross multiply
    330.21x = 455.58 × 199.20
  4. Step 4: Simplify right side
    330.21x = 90,751.54
  5. Step 5: Solve for x
    x = 90,751.54/330.21
  6. Step 6: Final answer
    x = 274.83

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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.