Finding the Fourth Proportional to 197.93, 296.78 and 76.09
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Solution
The fourth proportional to 197.93, 296.78 and 76.09 is: 114.09
Step by Step Solution
- Step 1: Write the proportion equation
197.93 : 296.78 = 76.09 : x - Step 2: Convert to fraction form
197.93/296.78 = 76.09/x - Step 3: Cross multiply
197.93x = 296.78 × 76.09 - Step 4: Simplify right side
197.93x = 22,581.99 - Step 5: Solve for x
x = 22,581.99/197.93 - Step 6: Final answer
x = 114.09
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.