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Finding the Fourth Proportional to 285.72, 394.16 and 169.22

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Solution

The fourth proportional to 285.72, 394.16 and 169.22 is: 233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.72 : 394.16 = 169.22 : x
  2. Step 2: Convert to fraction form
    285.72/394.16 = 169.22/x
  3. Step 3: Cross multiply
    285.72x = 394.16 × 169.22
  4. Step 4: Simplify right side
    285.72x = 66,696.94
  5. Step 5: Solve for x
    x = 66,696.94/285.72
  6. Step 6: Final answer
    x = 233.43

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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.