Finding the Fourth Proportional to 342.08, 472 and 204.16
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Solution
The fourth proportional to 342.08, 472 and 204.16 is: 281.70
Step by Step Solution
- Step 1: Write the proportion equation
342.08 : 472 = 204.16 : x - Step 2: Convert to fraction form
342.08/472 = 204.16/x - Step 3: Cross multiply
342.08x = 472 × 204.16 - Step 4: Simplify right side
342.08x = 96,363.52 - Step 5: Solve for x
x = 96,363.52/342.08 - Step 6: Final answer
x = 281.70
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.