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Finding the Fourth Proportional to 330.90, 495.43 and 167.78

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Solution

The fourth proportional to 330.90, 495.43 and 167.78 is: 251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.90 : 495.43 = 167.78 : x
  2. Step 2: Convert to fraction form
    330.90/495.43 = 167.78/x
  3. Step 3: Cross multiply
    330.90x = 495.43 × 167.78
  4. Step 4: Simplify right side
    330.90x = 83,122.41
  5. Step 5: Solve for x
    x = 83,122.41/330.90
  6. Step 6: Final answer
    x = 251.20

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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.