Finding the Fourth Proportional to 314.10, 433.46 and 189.74
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Solution
The fourth proportional to 314.10, 433.46 and 189.74 is: 261.84
Step by Step Solution
- Step 1: Write the proportion equation
314.10 : 433.46 = 189.74 : x - Step 2: Convert to fraction form
314.10/433.46 = 189.74/x - Step 3: Cross multiply
314.10x = 433.46 × 189.74 - Step 4: Simplify right side
314.10x = 82,243.82 - Step 5: Solve for x
x = 82,243.82/314.10 - Step 6: Final answer
x = 261.84
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.