To determine which response does not relate to showing proportion in the image, we can analyze each option:
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Lining the corners of the mouth up with the center of the eyes. - This is a common proportional guideline in portrait drawing indicating the relationship between facial features.
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Lining up the sides of the nose with the inside corners of the eyes. - This guideline is also commonly used in art to depict proportion accurately.
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Lining up the bottom of the mouth with the tops of the ears. - Generally, the bottom of the mouth is not aligned with the tops of the ears in standard proportional guidelines for the human face. This may not adhere to typical proportions.
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Lining up the inside edge of the eyebrows with the inside corner of the eyes. - This is another standard proportional relationship in portraiture.
Based on this analysis, the response that does not show proportion in this image is:
Lining up the bottom of the mouth with the tops of the ears.