Finding the Fourth Proportional to 202.04, 302.74 and 115.26
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Solution
The fourth proportional to 202.04, 302.74 and 115.26 is: 172.71
Step by Step Solution
- Step 1: Write the proportion equation
202.04 : 302.74 = 115.26 : x - Step 2: Convert to fraction form
202.04/302.74 = 115.26/x - Step 3: Cross multiply
202.04x = 302.74 × 115.26 - Step 4: Simplify right side
202.04x = 34,893.81 - Step 5: Solve for x
x = 34,893.81/202.04 - Step 6: Final answer
x = 172.71
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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.