Finding the Fourth Proportional to 203.15, 280.35 and 109.90
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Solution
The fourth proportional to 203.15, 280.35 and 109.90 is: 151.66
Step by Step Solution
- Step 1: Write the proportion equation
203.15 : 280.35 = 109.90 : x - Step 2: Convert to fraction form
203.15/280.35 = 109.90/x - Step 3: Cross multiply
203.15x = 280.35 × 109.90 - Step 4: Simplify right side
203.15x = 30,810.02 - Step 5: Solve for x
x = 30,810.02/203.15 - Step 6: Final answer
x = 151.66
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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.