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Finding the Fourth Proportional to 392.82, 589.41 and 149.46

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Solution

The fourth proportional to 392.82, 589.41 and 149.46 is: 224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.82 : 589.41 = 149.46 : x
  2. Step 2: Convert to fraction form
    392.82/589.41 = 149.46/x
  3. Step 3: Cross multiply
    392.82x = 589.41 × 149.46
  4. Step 4: Simplify right side
    392.82x = 88,093.22
  5. Step 5: Solve for x
    x = 88,093.22/392.82
  6. Step 6: Final answer
    x = 224.26

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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.