Finding the Fourth Proportional to 282, 388.80 and 223.68
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Solution
The fourth proportional to 282, 388.80 and 223.68 is: 308.39
Step by Step Solution
- Step 1: Write the proportion equation
282 : 388.80 = 223.68 : x - Step 2: Convert to fraction form
282/388.80 = 223.68/x - Step 3: Cross multiply
282x = 388.80 × 223.68 - Step 4: Simplify right side
282x = 86,966.78 - Step 5: Solve for x
x = 86,966.78/282 - Step 6: Final answer
x = 308.39
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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.