Finding the Fourth Proportional to 312.99, 469.49 and 118.09
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Solution
The fourth proportional to 312.99, 469.49 and 118.09 is: 177.14
Step by Step Solution
- Step 1: Write the proportion equation
312.99 : 469.49 = 118.09 : x - Step 2: Convert to fraction form
312.99/469.49 = 118.09/x - Step 3: Cross multiply
312.99x = 469.49 × 118.09 - Step 4: Simplify right side
312.99x = 55,442.07 - Step 5: Solve for x
x = 55,442.07/312.99 - Step 6: Final answer
x = 177.14
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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.