Finding the Fourth Proportional to 178.45, 266.99 and 177.99
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Solution
The fourth proportional to 178.45, 266.99 and 177.99 is: 266.30
Step by Step Solution
- Step 1: Write the proportion equation
178.45 : 266.99 = 177.99 : x - Step 2: Convert to fraction form
178.45/266.99 = 177.99/x - Step 3: Cross multiply
178.45x = 266.99 × 177.99 - Step 4: Simplify right side
178.45x = 47,520.66 - Step 5: Solve for x
x = 47,520.66/178.45 - Step 6: Final answer
x = 266.30
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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.