Finding the Fourth Proportional to 177.68, 266.36 and 147.18
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Solution
The fourth proportional to 177.68, 266.36 and 147.18 is: 220.64
Step by Step Solution
- Step 1: Write the proportion equation
177.68 : 266.36 = 147.18 : x - Step 2: Convert to fraction form
177.68/266.36 = 147.18/x - Step 3: Cross multiply
177.68x = 266.36 × 147.18 - Step 4: Simplify right side
177.68x = 39,202.86 - Step 5: Solve for x
x = 39,202.86/177.68 - Step 6: Final answer
x = 220.64
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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.