Finding the Fourth Proportional to 207.64, 286.62 and 155.26
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Solution
The fourth proportional to 207.64, 286.62 and 155.26 is: 214.32
Step by Step Solution
- Step 1: Write the proportion equation
207.64 : 286.62 = 155.26 : x - Step 2: Convert to fraction form
207.64/286.62 = 155.26/x - Step 3: Cross multiply
207.64x = 286.62 × 155.26 - Step 4: Simplify right side
207.64x = 44,500.62 - Step 5: Solve for x
x = 44,500.62/207.64 - Step 6: Final answer
x = 214.32
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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.