Finding the Fourth Proportional to 256.56, 382.26 and 240
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Solution
The fourth proportional to 256.56, 382.26 and 240 is: 357.59
Step by Step Solution
- Step 1: Write the proportion equation
256.56 : 382.26 = 240 : x - Step 2: Convert to fraction form
256.56/382.26 = 240/x - Step 3: Cross multiply
256.56x = 382.26 × 240 - Step 4: Simplify right side
256.56x = 91,742.40 - Step 5: Solve for x
x = 91,742.40/256.56 - Step 6: Final answer
x = 357.59
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.