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Finding the Fourth Proportional to 519.21, 778.95 and 194.67

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Solution

The fourth proportional to 519.21, 778.95 and 194.67 is: 292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.21 : 778.95 = 194.67 : x
  2. Step 2: Convert to fraction form
    519.21/778.95 = 194.67/x
  3. Step 3: Cross multiply
    519.21x = 778.95 × 194.67
  4. Step 4: Simplify right side
    519.21x = 151,638.20
  5. Step 5: Solve for x
    x = 151,638.20/519.21
  6. Step 6: Final answer
    x = 292.06

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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.