Finding the Fourth Proportional to 314.64, 434.22 and 198.24
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Solution
The fourth proportional to 314.64, 434.22 and 198.24 is: 273.58
Step by Step Solution
- Step 1: Write the proportion equation
314.64 : 434.22 = 198.24 : x - Step 2: Convert to fraction form
314.64/434.22 = 198.24/x - Step 3: Cross multiply
314.64x = 434.22 × 198.24 - Step 4: Simplify right side
314.64x = 86,079.77 - Step 5: Solve for x
x = 86,079.77/314.64 - Step 6: Final answer
x = 273.58
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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.