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Finding the Fourth Proportional to 392.21, 588.49 and 186.79

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Solution

The fourth proportional to 392.21, 588.49 and 186.79 is: 280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.21 : 588.49 = 186.79 : x
  2. Step 2: Convert to fraction form
    392.21/588.49 = 186.79/x
  3. Step 3: Cross multiply
    392.21x = 588.49 × 186.79
  4. Step 4: Simplify right side
    392.21x = 109,922.06
  5. Step 5: Solve for x
    x = 109,922.06/392.21
  6. Step 6: Final answer
    x = 280.26

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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.