Finding the Fourth Proportional to 197.25, 295.74 and 110.58
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Solution
The fourth proportional to 197.25, 295.74 and 110.58 is: 165.79
Step by Step Solution
- Step 1: Write the proportion equation
197.25 : 295.74 = 110.58 : x - Step 2: Convert to fraction form
197.25/295.74 = 110.58/x - Step 3: Cross multiply
197.25x = 295.74 × 110.58 - Step 4: Simplify right side
197.25x = 32,702.93 - Step 5: Solve for x
x = 32,702.93/197.25 - Step 6: Final answer
x = 165.79
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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.