Topband: 2 wire Beverage transformers

[Dave Blaschke]

I am attempting to learn how to construct the transformers T1, T4, 
and T5B shown in ON4UN's manual, Table 7-35,  for a two wire 
Beverage. The actual 2-wire Beverage is shown in Figure 7-98. Twin 
wire impedance is 172 ohms, and the  "above ground" impedance is 545 
ohms. Feedline coax is 75 ohms. I do not see any place in John's 
article showing how the turns ratios shown are determined. Is there 
an "expert" on this reflector who can give me some feedback on 
this?  What I'm looking for is formulas to determine the said 
transformers turns ratios.

Dave, W5UN