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Finding the Fourth Proportional to 408.33, 612.35 and 148.26

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Solution

The fourth proportional to 408.33, 612.35 and 148.26 is: 222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.33 : 612.35 = 148.26 : x
  2. Step 2: Convert to fraction form
    408.33/612.35 = 148.26/x
  3. Step 3: Cross multiply
    408.33x = 612.35 × 148.26
  4. Step 4: Simplify right side
    408.33x = 90,786.27
  5. Step 5: Solve for x
    x = 90,786.27/408.33
  6. Step 6: Final answer
    x = 222.34

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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.