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Finding the Fourth Proportional to 392.82, 589.05 and 149.19

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Solution

The fourth proportional to 392.82, 589.05 and 149.19 is: 223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.82 : 589.05 = 149.19 : x
  2. Step 2: Convert to fraction form
    392.82/589.05 = 149.19/x
  3. Step 3: Cross multiply
    392.82x = 589.05 × 149.19
  4. Step 4: Simplify right side
    392.82x = 87,880.37
  5. Step 5: Solve for x
    x = 87,880.37/392.82
  6. Step 6: Final answer
    x = 223.72

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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.