Finding the Fourth Proportional to 290.13, 435.26 and 97.75
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Solution
The fourth proportional to 290.13, 435.26 and 97.75 is: 146.65
Step by Step Solution
- Step 1: Write the proportion equation
290.13 : 435.26 = 97.75 : x - Step 2: Convert to fraction form
290.13/435.26 = 97.75/x - Step 3: Cross multiply
290.13x = 435.26 × 97.75 - Step 4: Simplify right side
290.13x = 42,546.67 - Step 5: Solve for x
x = 42,546.67/290.13 - Step 6: Final answer
x = 146.65
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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.