Finding the Fourth Proportional to 228.24, 342.24 and 180
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Solution
The fourth proportional to 228.24, 342.24 and 180 is: 269.91
Step by Step Solution
- Step 1: Write the proportion equation
228.24 : 342.24 = 180 : x - Step 2: Convert to fraction form
228.24/342.24 = 180/x - Step 3: Cross multiply
228.24x = 342.24 × 180 - Step 4: Simplify right side
228.24x = 61,603.20 - Step 5: Solve for x
x = 61,603.20/228.24 - Step 6: Final answer
x = 269.91
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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.