Finding the Fourth Proportional to 177.99, 266.97 and 109.62
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Solution
The fourth proportional to 177.99, 266.97 and 109.62 is: 164.42
Step by Step Solution
- Step 1: Write the proportion equation
177.99 : 266.97 = 109.62 : x - Step 2: Convert to fraction form
177.99/266.97 = 109.62/x - Step 3: Cross multiply
177.99x = 266.97 × 109.62 - Step 4: Simplify right side
177.99x = 29,265.25 - Step 5: Solve for x
x = 29,265.25/177.99 - Step 6: Final answer
x = 164.42
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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.