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Finding the Fourth Proportional to 408.96, 613.50 and 148.98

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Solution

The fourth proportional to 408.96, 613.50 and 148.98 is: 223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.96 : 613.50 = 148.98 : x
  2. Step 2: Convert to fraction form
    408.96/613.50 = 148.98/x
  3. Step 3: Cross multiply
    408.96x = 613.50 × 148.98
  4. Step 4: Simplify right side
    408.96x = 91,399.23
  5. Step 5: Solve for x
    x = 91,399.23/408.96
  6. Step 6: Final answer
    x = 223.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.