A dieter is losing weight! After the first week on the diet she lost 5.5% of her initial weight. She lost 4.87% of her weight after the first week the second week, 3% of her weight after the second week the third week and 2.5% of her weight after the third week the fourth week. She now weights 205.6 lbs. What was her initial weight? Explain

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A dieter is losing weight! After the first week on the diet she lost 5.5% of her initial weight. She lost 4.87% of her weight after the first week the second week, 3% of her weight after the second week the third week and 2.5% of her weight after the third week the fourth week. She now weights 205.6 lbs. What was her initial weight? Explain

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Let us analyze the problem and mathematically model the situation. The given situation is that she is losing weight at a percentage of her initial weight each week. Let x represent her initial weight.

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