Finding the Fourth Proportional to 205.76, 283.99 and 135.93
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Solution
The fourth proportional to 205.76, 283.99 and 135.93 is: 187.61
Step by Step Solution
- Step 1: Write the proportion equation
205.76 : 283.99 = 135.93 : x - Step 2: Convert to fraction form
205.76/283.99 = 135.93/x - Step 3: Cross multiply
205.76x = 283.99 × 135.93 - Step 4: Simplify right side
205.76x = 38,602.42 - Step 5: Solve for x
x = 38,602.42/205.76 - Step 6: Final answer
x = 187.61
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.