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Finding the Fourth Proportional to 392.29, 588.34 and 186.95

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Solution

The fourth proportional to 392.29, 588.34 and 186.95 is: 280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.29 : 588.34 = 186.95 : x
  2. Step 2: Convert to fraction form
    392.29/588.34 = 186.95/x
  3. Step 3: Cross multiply
    392.29x = 588.34 × 186.95
  4. Step 4: Simplify right side
    392.29x = 109,990.16
  5. Step 5: Solve for x
    x = 109,990.16/392.29
  6. Step 6: Final answer
    x = 280.38

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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.