Workstations in a branch office that require reliable connections and minimal packet loss for real-time applications would benefit most from wired Ethernet connections. While wireless offers mobility, it can be susceptible to interference and may not always provide the level of reliability required for real-time applications. Wi-Fi is prone to congestion and interference, which can lead to increased packet loss and latency, affecting the performance of real-time applications. Powerline networking is typically used for home networks or situations where running traditional network cables is not feasible; it's not typically used in business environments for primary connectivity due to its limited bandwidth and susceptibility to interference from other electrical devices. Bluetooth is not used for workstation connectivity due to its short range and low bandwidth compared to wired and wireless networking options, which makes it unsuitable for an office environment.