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Finding the Fourth Proportional to 392.72, 588.56 and 186.86

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Solution

The fourth proportional to 392.72, 588.56 and 186.86 is: 280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.72 : 588.56 = 186.86 : x
  2. Step 2: Convert to fraction form
    392.72/588.56 = 186.86/x
  3. Step 3: Cross multiply
    392.72x = 588.56 × 186.86
  4. Step 4: Simplify right side
    392.72x = 109,978.86
  5. Step 5: Solve for x
    x = 109,978.86/392.72
  6. Step 6: Final answer
    x = 280.05

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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.