Short Answer 
To calculate the total atomic numbers for the elements Neon, Vanadium, Tungsten, and Rhenium, you start with a sum of 182. To reach the target of 200, you need an additional 18, which can be achieved by adding two elements, Fluorine and Argon, each with an atomic number of 9, bringing the total to 200.
Step 1: Calculate the Initial Total
Start by determining the sum of the atomic numbers of the given elements. The elements included are Neon (Ne), Vanadium (V), Tungsten (W), and Rhenium (Re). Their atomic numbers are:
- Neon (Ne) = 10
- Vanadium (V) = 23
- Tungsten (W) = 74
- Rhenium (Re) = 75
When you add these numbers, the total is 182. This is your starting point for further calculations.
Step 2: Determine the Additional Atomic Numbers Needed
To comply with Rule 18, you need the total atomic numbers to equal 200. Therefore, you must find the difference between this target and the current total. Calculate:
- 200 (target total) – 182 (current total) = 18
This means you need elements that add up to 18 to reach the required total.
Step 3: Select the Appropriate Elements
Choose elements that can bridge the gap of 18. In this case, Fluorine (F) and Argon (Ar) are suitable options, as both have atomic numbers of:
- Fluorine (F) = 9
- Argon (Ar) = 9
By adding these two, you achieve 9 + 9 = 18, successfully meeting the requirement of Rule 18 and bringing your total to 200.