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Finding the Fourth Proportional to 519.05, 778.09 and 194.19

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Solution

The fourth proportional to 519.05, 778.09 and 194.19 is: 291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.05 : 778.09 = 194.19 : x
  2. Step 2: Convert to fraction form
    519.05/778.09 = 194.19/x
  3. Step 3: Cross multiply
    519.05x = 778.09 × 194.19
  4. Step 4: Simplify right side
    519.05x = 151,096.81
  5. Step 5: Solve for x
    x = 151,096.81/519.05
  6. Step 6: Final answer
    x = 291.11

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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.