Finding the Fourth Proportional to 205.22, 283.11 and 117.84
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Solution
The fourth proportional to 205.22, 283.11 and 117.84 is: 162.57
Step by Step Solution
- Step 1: Write the proportion equation
205.22 : 283.11 = 117.84 : x - Step 2: Convert to fraction form
205.22/283.11 = 117.84/x - Step 3: Cross multiply
205.22x = 283.11 × 117.84 - Step 4: Simplify right side
205.22x = 33,362.97 - Step 5: Solve for x
x = 33,362.97/205.22 - Step 6: Final answer
x = 162.57
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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.