Finding the Fourth Proportional to 207.14, 310.44 and 110.84
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Solution
The fourth proportional to 207.14, 310.44 and 110.84 is: 166.12
Step by Step Solution
- Step 1: Write the proportion equation
207.14 : 310.44 = 110.84 : x - Step 2: Convert to fraction form
207.14/310.44 = 110.84/x - Step 3: Cross multiply
207.14x = 310.44 × 110.84 - Step 4: Simplify right side
207.14x = 34,409.17 - Step 5: Solve for x
x = 34,409.17/207.14 - Step 6: Final answer
x = 166.12
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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.