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Finding the Fourth Proportional to 815.38, 1,223.07 and 199.08

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Solution

The fourth proportional to 815.38, 1,223.07 and 199.08 is: 298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.38 : 1,223.07 = 199.08 : x
  2. Step 2: Convert to fraction form
    815.38/1,223.07 = 199.08/x
  3. Step 3: Cross multiply
    815.38x = 1,223.07 × 199.08
  4. Step 4: Simplify right side
    815.38x = 243,488.78
  5. Step 5: Solve for x
    x = 243,488.78/815.38
  6. Step 6: Final answer
    x = 298.62

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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.