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Finding the Fourth Proportional to 392.27, 588.29 and 186.80

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Solution

The fourth proportional to 392.27, 588.29 and 186.80 is: 280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.27 : 588.29 = 186.80 : x
  2. Step 2: Convert to fraction form
    392.27/588.29 = 186.80/x
  3. Step 3: Cross multiply
    392.27x = 588.29 × 186.80
  4. Step 4: Simplify right side
    392.27x = 109,888.70
  5. Step 5: Solve for x
    x = 109,888.70/392.27
  6. Step 6: Final answer
    x = 280.14

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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.