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Finding the Fourth Proportional to 392.68, 588.61 and 186.94

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Solution

The fourth proportional to 392.68, 588.61 and 186.94 is: 280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.68 : 588.61 = 186.94 : x
  2. Step 2: Convert to fraction form
    392.68/588.61 = 186.94/x
  3. Step 3: Cross multiply
    392.68x = 588.61 × 186.94
  4. Step 4: Simplify right side
    392.68x = 110,034.75
  5. Step 5: Solve for x
    x = 110,034.75/392.68
  6. Step 6: Final answer
    x = 280.21

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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.