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Finding the Fourth Proportional to 330.14, 495.42 and 193.46

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Solution

The fourth proportional to 330.14, 495.42 and 193.46 is: 290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.14 : 495.42 = 193.46 : x
  2. Step 2: Convert to fraction form
    330.14/495.42 = 193.46/x
  3. Step 3: Cross multiply
    330.14x = 495.42 × 193.46
  4. Step 4: Simplify right side
    330.14x = 95,843.95
  5. Step 5: Solve for x
    x = 95,843.95/330.14
  6. Step 6: Final answer
    x = 290.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.