Finding the Fourth Proportional to 177.23, 265.77 and 74.49
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Solution
The fourth proportional to 177.23, 265.77 and 74.49 is: 111.71
Step by Step Solution
- Step 1: Write the proportion equation
177.23 : 265.77 = 74.49 : x - Step 2: Convert to fraction form
177.23/265.77 = 74.49/x - Step 3: Cross multiply
177.23x = 265.77 × 74.49 - Step 4: Simplify right side
177.23x = 19,797.21 - Step 5: Solve for x
x = 19,797.21/177.23 - Step 6: Final answer
x = 111.71
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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.