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Finding the Fourth Proportional to 392.53, 588.34 and 161.38

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Solution

The fourth proportional to 392.53, 588.34 and 161.38 is: 241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.53 : 588.34 = 161.38 : x
  2. Step 2: Convert to fraction form
    392.53/588.34 = 161.38/x
  3. Step 3: Cross multiply
    392.53x = 588.34 × 161.38
  4. Step 4: Simplify right side
    392.53x = 94,946.31
  5. Step 5: Solve for x
    x = 94,946.31/392.53
  6. Step 6: Final answer
    x = 241.88

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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.