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Finding the Fourth Proportional to 408.84, 613.32 and 148.80

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Solution

The fourth proportional to 408.84, 613.32 and 148.80 is: 223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.84 : 613.32 = 148.80 : x
  2. Step 2: Convert to fraction form
    408.84/613.32 = 148.80/x
  3. Step 3: Cross multiply
    408.84x = 613.32 × 148.80
  4. Step 4: Simplify right side
    408.84x = 91,262.02
  5. Step 5: Solve for x
    x = 91,262.02/408.84
  6. Step 6: Final answer
    x = 223.22

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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.