Finding the Fourth Proportional to 230.02, 317.44 and 167.82
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Solution
The fourth proportional to 230.02, 317.44 and 167.82 is: 231.60
Step by Step Solution
- Step 1: Write the proportion equation
230.02 : 317.44 = 167.82 : x - Step 2: Convert to fraction form
230.02/317.44 = 167.82/x - Step 3: Cross multiply
230.02x = 317.44 × 167.82 - Step 4: Simplify right side
230.02x = 53,272.78 - Step 5: Solve for x
x = 53,272.78/230.02 - Step 6: Final answer
x = 231.60
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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.