Step 1: Express the statement: a fourth of 10 centimeters mathematically
![(1)/(4)*10\operatorname{cm}\Rightarrow(10)/(4)cm\Rightarrow2.5\operatorname{cm}]()
Step 2: Write the map distance equivalence
![\text{2}.5\operatorname{cm}=150m\text{ on map}]()
Step 3: The distance on the map from Springfield to Oakwood is 1.5 of 10 centimeters, this can be expressed as;
![\begin{gathered} 1.5\text{ of 10cm} \\ (3)/(2)*10\operatorname{cm}=(30)/(2)cm=15\operatorname{cm} \end{gathered}]()
Step 4: find the distance in meters from Springfield to Oakwood
![\begin{gathered} 2.5\operatorname{cm}=150m \\ 1\operatorname{cm}=xm \\ xm=\frac{150m*1\operatorname{cm}}{2.5\operatorname{cm}} \\ xm=60m \\ 1\operatorname{cm}=60m \end{gathered}]()

Hence, the distance in meters from Springfield to Oakwood is 900meters