Finding the Fourth Proportional to 312.13, 430.68 and 195.64
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Solution
The fourth proportional to 312.13, 430.68 and 195.64 is: 269.95
Step by Step Solution
- Step 1: Write the proportion equation
312.13 : 430.68 = 195.64 : x - Step 2: Convert to fraction form
312.13/430.68 = 195.64/x - Step 3: Cross multiply
312.13x = 430.68 × 195.64 - Step 4: Simplify right side
312.13x = 84,258.24 - Step 5: Solve for x
x = 84,258.24/312.13 - Step 6: Final answer
x = 269.95
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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.