Finding the Fourth Proportional to 206.52, 284.99 and 119.19
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Solution
The fourth proportional to 206.52, 284.99 and 119.19 is: 164.48
Step by Step Solution
- Step 1: Write the proportion equation
206.52 : 284.99 = 119.19 : x - Step 2: Convert to fraction form
206.52/284.99 = 119.19/x - Step 3: Cross multiply
206.52x = 284.99 × 119.19 - Step 4: Simplify right side
206.52x = 33,968.26 - Step 5: Solve for x
x = 33,968.26/206.52 - Step 6: Final answer
x = 164.48
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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.