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Finding the Fourth Proportional to 392.85, 589.42 and 161.85

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Solution

The fourth proportional to 392.85, 589.42 and 161.85 is: 242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.85 : 589.42 = 161.85 : x
  2. Step 2: Convert to fraction form
    392.85/589.42 = 161.85/x
  3. Step 3: Cross multiply
    392.85x = 589.42 × 161.85
  4. Step 4: Simplify right side
    392.85x = 95,397.63
  5. Step 5: Solve for x
    x = 95,397.63/392.85
  6. Step 6: Final answer
    x = 242.83

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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.