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Finding the Fourth Proportional to 408.43, 612.52 and 148.40

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Solution

The fourth proportional to 408.43, 612.52 and 148.40 is: 222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.43 : 612.52 = 148.40 : x
  2. Step 2: Convert to fraction form
    408.43/612.52 = 148.40/x
  3. Step 3: Cross multiply
    408.43x = 612.52 × 148.40
  4. Step 4: Simplify right side
    408.43x = 90,897.97
  5. Step 5: Solve for x
    x = 90,897.97/408.43
  6. Step 6: Final answer
    x = 222.55

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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.