Answer: 35.2 cm
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Work Shown:
x = sum of all 6 lengths
x/6 = mean of the 6 lengths
x/6 = 44.2
x = 6*44.2
x = 265.2
All 6 lengths add up to 265.2 cm.
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y = sum of the first 5 lengths
y/5 = mean of those first 5 lengths
y/5 = 46
y = 5*46
y = 230
The first five lengths add up to 230 cm.
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z = length of the 6th rod, length is in cm
y+z = (length of first 5 rods)+(length of 6th rod)
y+z = x
230+z = 265.2
z = 265.2-230
z = 35.2
The sixth rod is 35.2 cm