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Finding the Fourth Proportional to 392.42, 588.15 and 161.24

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Solution

The fourth proportional to 392.42, 588.15 and 161.24 is: 241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.42 : 588.15 = 161.24 : x
  2. Step 2: Convert to fraction form
    392.42/588.15 = 161.24/x
  3. Step 3: Cross multiply
    392.42x = 588.15 × 161.24
  4. Step 4: Simplify right side
    392.42x = 94,830.37
  5. Step 5: Solve for x
    x = 94,830.37/392.42
  6. Step 6: Final answer
    x = 241.66

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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.