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Finding the Fourth Proportional to 285.29, 394.16 and 248.43

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Solution

The fourth proportional to 285.29, 394.16 and 248.43 is: 343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.29 : 394.16 = 248.43 : x
  2. Step 2: Convert to fraction form
    285.29/394.16 = 248.43/x
  3. Step 3: Cross multiply
    285.29x = 394.16 × 248.43
  4. Step 4: Simplify right side
    285.29x = 97,919.93
  5. Step 5: Solve for x
    x = 97,919.93/285.29
  6. Step 6: Final answer
    x = 343.24

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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.