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Finding the Fourth Proportional to 330.27, 455.82 and 199.29

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Solution

The fourth proportional to 330.27, 455.82 and 199.29 is: 275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.27 : 455.82 = 199.29 : x
  2. Step 2: Convert to fraction form
    330.27/455.82 = 199.29/x
  3. Step 3: Cross multiply
    330.27x = 455.82 × 199.29
  4. Step 4: Simplify right side
    330.27x = 90,840.37
  5. Step 5: Solve for x
    x = 90,840.37/330.27
  6. Step 6: Final answer
    x = 275.05

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