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Finding the Fourth Proportional to 815.86, 1,223.78 and 199.56

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Solution

The fourth proportional to 815.86, 1,223.78 and 199.56 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.86 : 1,223.78 = 199.56 : x
  2. Step 2: Convert to fraction form
    815.86/1,223.78 = 199.56/x
  3. Step 3: Cross multiply
    815.86x = 1,223.78 × 199.56
  4. Step 4: Simplify right side
    815.86x = 244,215.37
  5. Step 5: Solve for x
    x = 244,215.37/815.86
  6. Step 6: Final answer
    x = 299.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.