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Finding the Fourth Proportional to 330.31, 455.70 and 199.27

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Solution

The fourth proportional to 330.31, 455.70 and 199.27 is: 274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.31 : 455.70 = 199.27 : x
  2. Step 2: Convert to fraction form
    330.31/455.70 = 199.27/x
  3. Step 3: Cross multiply
    330.31x = 455.70 × 199.27
  4. Step 4: Simplify right side
    330.31x = 90,807.34
  5. Step 5: Solve for x
    x = 90,807.34/330.31
  6. Step 6: Final answer
    x = 274.92

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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.