Finding the Fourth Proportional to 205.81, 283.74 and 170.71
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Solution
The fourth proportional to 205.81, 283.74 and 170.71 is: 235.35
Step by Step Solution
- Step 1: Write the proportion equation
205.81 : 283.74 = 170.71 : x - Step 2: Convert to fraction form
205.81/283.74 = 170.71/x - Step 3: Cross multiply
205.81x = 283.74 × 170.71 - Step 4: Simplify right side
205.81x = 48,437.26 - Step 5: Solve for x
x = 48,437.26/205.81 - Step 6: Final answer
x = 235.35
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.