Finding the Fourth Proportional to 254.56, 382 and 100.46
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Solution
The fourth proportional to 254.56, 382 and 100.46 is: 150.75
Step by Step Solution
- Step 1: Write the proportion equation
254.56 : 382 = 100.46 : x - Step 2: Convert to fraction form
254.56/382 = 100.46/x - Step 3: Cross multiply
254.56x = 382 × 100.46 - Step 4: Simplify right side
254.56x = 38,375.72 - Step 5: Solve for x
x = 38,375.72/254.56 - Step 6: Final answer
x = 150.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.