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Finding the Fourth Proportional to 366.20, 549.35 and 149.73

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Solution

The fourth proportional to 366.20, 549.35 and 149.73 is: 224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.20 : 549.35 = 149.73 : x
  2. Step 2: Convert to fraction form
    366.20/549.35 = 149.73/x
  3. Step 3: Cross multiply
    366.20x = 549.35 × 149.73
  4. Step 4: Simplify right side
    366.20x = 82,253.43
  5. Step 5: Solve for x
    x = 82,253.43/366.20
  6. Step 6: Final answer
    x = 224.62

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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.