Finding the Fourth Proportional to 310.96, 429.08 and 180
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Solution
The fourth proportional to 310.96, 429.08 and 180 is: 248.37
Step by Step Solution
- Step 1: Write the proportion equation
310.96 : 429.08 = 180 : x - Step 2: Convert to fraction form
310.96/429.08 = 180/x - Step 3: Cross multiply
310.96x = 429.08 × 180 - Step 4: Simplify right side
310.96x = 77,234.40 - Step 5: Solve for x
x = 77,234.40/310.96 - Step 6: Final answer
x = 248.37
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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.