Question 1203917
the coordinate of point {{{X}}} is {{{-18&1/2}}}
the coordinate of point {{{Y}}} is {{{25&1/3}}}



{{{X}}}______________________________________________{{{Y}}}
{{{-18&1/2}}}.......................................................................................................{{{25&1/3}}}

the distance between {{{X }}}and {{{Z}}} is one-third of the distance between {{{Z and {{{Y}}}

{{{X}}}______{{{d}}}______{{{Z}}}_____________{{{3d}}}_______________{{{Y}}}
{{{-18&1/2}}}......................................................................................................{{{25&1/3}}}

 the distance between {{{X}}} and {{{Y}}}

{{{d= the distance between {{{X }}}and {{{Y }}}divided by {{{4}}}
{{{d=(25&1/3+18&1/2)/4}}}
{{{d=263/24}}}

{{{3d= 3*263/24=263/8}}}

the coordinate of the point {{{Z}}} is {{{-18&1/2+263/24=-181/24=-7&13/24}}}

or
{{{25&1/3- 263/8=-181/24=-7 13/24}}}

answer: the coordinate of the point {{{Z}}} is {{{-7 &13/24}}}