Finding the Fourth Proportional to 430.91, 646.53 and 157.19
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Solution
The fourth proportional to 430.91, 646.53 and 157.19 is: 235.85
Step by Step Solution
- Step 1: Write the proportion equation
430.91 : 646.53 = 157.19 : x - Step 2: Convert to fraction form
430.91/646.53 = 157.19/x - Step 3: Cross multiply
430.91x = 646.53 × 157.19 - Step 4: Simplify right side
430.91x = 101,628.75 - Step 5: Solve for x
x = 101,628.75/430.91 - Step 6: Final answer
x = 235.85
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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.