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Finding the Fourth Proportional to 392.23, 588.55 and 186.76

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Solution

The fourth proportional to 392.23, 588.55 and 186.76 is: 280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.23 : 588.55 = 186.76 : x
  2. Step 2: Convert to fraction form
    392.23/588.55 = 186.76/x
  3. Step 3: Cross multiply
    392.23x = 588.55 × 186.76
  4. Step 4: Simplify right side
    392.23x = 109,917.52
  5. Step 5: Solve for x
    x = 109,917.52/392.23
  6. Step 6: Final answer
    x = 280.24

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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.