Finding the Fourth Proportional to 207.14, 310.82 and 145.99
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Solution
The fourth proportional to 207.14, 310.82 and 145.99 is: 219.05
Step by Step Solution
- Step 1: Write the proportion equation
207.14 : 310.82 = 145.99 : x - Step 2: Convert to fraction form
207.14/310.82 = 145.99/x - Step 3: Cross multiply
207.14x = 310.82 × 145.99 - Step 4: Simplify right side
207.14x = 45,375.10 - Step 5: Solve for x
x = 45,375.10/207.14 - Step 6: Final answer
x = 219.05
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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.