Finding the Fourth Proportional to 278.48, 418.08 and 150.32
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Solution
The fourth proportional to 278.48, 418.08 and 150.32 is: 225.67
Step by Step Solution
- Step 1: Write the proportion equation
278.48 : 418.08 = 150.32 : x - Step 2: Convert to fraction form
278.48/418.08 = 150.32/x - Step 3: Cross multiply
278.48x = 418.08 × 150.32 - Step 4: Simplify right side
278.48x = 62,845.79 - Step 5: Solve for x
x = 62,845.79/278.48 - Step 6: Final answer
x = 225.67
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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.