Monkey King has fairy peaches, Doraemon has cookies, and Mickey Mouse has bubble gum. They are exchanged according to the following ratio: 3:5 for peaches and cookies, 3:8 for peaches and bubble gum, and 7:10 for cookies and bubble gum. Now Monkey King took out 90 fairy peaches to exchange with the other two, Doraemon took out a total of 269 sweet cookies to exchange with the other two, so how many bubble gums did Mickey Mouse take out for exchange?
孙悟空有仙桃，机器猫有甜饼，米老鼠有泡泡糖．他们按下面比例互换：仙桃与甜饼为3：5，仙桃与泡泡糖为3：8，甜饼与泡泡糖为7：10．现在孙悟空先后各拿出90个仙桃与其他两位互换，机器猫共拿出甜饼269个与其他两位互换，那么米老鼠拿出互换的泡泡糖共多少个．
<gadget id="calculator">5 / 3</gadget>
<output>5/3 = around 1.666667</output>

<gadget id="calculator">90 * (5/3)</gadget>
<output>150</output>

<gadget id="calculator">269 - 150</gadget>
<output>119</output>

<gadget id="calculator">10 / 7</gadget>
<output>10/7 = around 1.428571</output>

<gadget id="calculator">119 * (10/7)</gadget>
<output>170</output>

<gadget id="calculator">8 / 3</gadget>
<output>8/3 = around 2.666667</output>

<gadget id="calculator">90 * (8/3)</gadget>
<output>240</output>

<gadget id="calculator">170 + 240</gadget>
<output>410</output>

<result>410</result>