Finding the Fourth Proportional to 177.48, 266.27 and 55.76
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Solution
The fourth proportional to 177.48, 266.27 and 55.76 is: 83.65
Step by Step Solution
- Step 1: Write the proportion equation
177.48 : 266.27 = 55.76 : x - Step 2: Convert to fraction form
177.48/266.27 = 55.76/x - Step 3: Cross multiply
177.48x = 266.27 × 55.76 - Step 4: Simplify right side
177.48x = 14,845.61 - Step 5: Solve for x
x = 14,845.61/177.48 - Step 6: Final answer
x = 83.65
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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.