Finding the Fourth Proportional to 199.24, 298.98 and 122.26
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Solution
The fourth proportional to 199.24, 298.98 and 122.26 is: 183.46
Step by Step Solution
- Step 1: Write the proportion equation
199.24 : 298.98 = 122.26 : x - Step 2: Convert to fraction form
199.24/298.98 = 122.26/x - Step 3: Cross multiply
199.24x = 298.98 × 122.26 - Step 4: Simplify right side
199.24x = 36,553.29 - Step 5: Solve for x
x = 36,553.29/199.24 - Step 6: Final answer
x = 183.46
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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.