As of today, both Ubuntu 22.04 & 22.10 (GNOME) guides have instructions for getting fractional scaling to work more precisely than merely 100 to 200%. With the recommended change, you will get 100, 125, 150, 175, 200, 225, 250, and 275% as your display options.
At this time, Ubuntu MATE is still very much an x11 only environment. This is from the project founder, Martin Wimpress.
Hopefully this provides greater guidance regarding fractional scaling, you really need Wayland - not X11, for a good experience.
Now, if you want to try something on Ubuntu or Fedora GNOME environments that may break stuff on X11, this is what you’d use - again, this is not tested and may not work or just break things.
x11 on GNOME:
gsettings set org.gnome.mutter experimental-features "['x11-randr-fractional-scaling']"
If you find this breaks on X11, undo it with:
gsettings reset org.gnome.mutter experimental-features
Hopefully this clears things up.
I’m out until Tues, have a fantastic New Years everyone!