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Finding the Fourth Proportional to 330.68, 495.94 and 147.96

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Solution

The fourth proportional to 330.68, 495.94 and 147.96 is: 221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.68 : 495.94 = 147.96 : x
  2. Step 2: Convert to fraction form
    330.68/495.94 = 147.96/x
  3. Step 3: Cross multiply
    330.68x = 495.94 × 147.96
  4. Step 4: Simplify right side
    330.68x = 73,379.28
  5. Step 5: Solve for x
    x = 73,379.28/330.68
  6. Step 6: Final answer
    x = 221.90

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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.