Finding the Fourth Proportional to 197.27, 295.91 and 81.63
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Solution
The fourth proportional to 197.27, 295.91 and 81.63 is: 122.45
Step by Step Solution
- Step 1: Write the proportion equation
197.27 : 295.91 = 81.63 : x - Step 2: Convert to fraction form
197.27/295.91 = 81.63/x - Step 3: Cross multiply
197.27x = 295.91 × 81.63 - Step 4: Simplify right side
197.27x = 24,156.09 - Step 5: Solve for x
x = 24,156.09/197.27 - Step 6: Final answer
x = 122.45
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.