Finding the Fourth Proportional to 270.09, 405.07 and 133
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Solution
The fourth proportional to 270.09, 405.07 and 133 is: 199.47
Step by Step Solution
- Step 1: Write the proportion equation
270.09 : 405.07 = 133 : x - Step 2: Convert to fraction form
270.09/405.07 = 133/x - Step 3: Cross multiply
270.09x = 405.07 × 133 - Step 4: Simplify right side
270.09x = 53,874.31 - Step 5: Solve for x
x = 53,874.31/270.09 - Step 6: Final answer
x = 199.47
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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.