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Finding the Fourth Proportional to 408.45, 612.60 and 148.40

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Solution

The fourth proportional to 408.45, 612.60 and 148.40 is: 222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.45 : 612.60 = 148.40 : x
  2. Step 2: Convert to fraction form
    408.45/612.60 = 148.40/x
  3. Step 3: Cross multiply
    408.45x = 612.60 × 148.40
  4. Step 4: Simplify right side
    408.45x = 90,906.78
  5. Step 5: Solve for x
    x = 90,906.78/408.45
  6. Step 6: Final answer
    x = 222.57

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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.