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Finding the Fourth Proportional to 512.07, 768.21 and 187.67

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Solution

The fourth proportional to 512.07, 768.21 and 187.67 is: 281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.07 : 768.21 = 187.67 : x
  2. Step 2: Convert to fraction form
    512.07/768.21 = 187.67/x
  3. Step 3: Cross multiply
    512.07x = 768.21 × 187.67
  4. Step 4: Simplify right side
    512.07x = 144,169.97
  5. Step 5: Solve for x
    x = 144,169.97/512.07
  6. Step 6: Final answer
    x = 281.54

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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.