When measuring a distance AB$,$ the first taping pin was placed $0\mathrm{.}5$ ft to the right of line AB and the second pin was set $0\mathrm{.}5$ ft left of line AB$.$ The recorded distance was $268\mathrm{.}87$ ft$.$ Calculate the correct distance. $($Assume $3$ taped segments, the first two $100$ ft each$)$