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Finding the Fourth Proportional to 392.85, 588.74 and 161.60

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Solution

The fourth proportional to 392.85, 588.74 and 161.60 is: 242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.85 : 588.74 = 161.60 : x
  2. Step 2: Convert to fraction form
    392.85/588.74 = 161.60/x
  3. Step 3: Cross multiply
    392.85x = 588.74 × 161.60
  4. Step 4: Simplify right side
    392.85x = 95,136.63
  5. Step 5: Solve for x
    x = 95,136.63/392.85
  6. Step 6: Final answer
    x = 242.17

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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.