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Finding the Fourth Proportional to 285.88, 394.42 and 248.97

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Solution

The fourth proportional to 285.88, 394.42 and 248.97 is: 343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.88 : 394.42 = 248.97 : x
  2. Step 2: Convert to fraction form
    285.88/394.42 = 248.97/x
  3. Step 3: Cross multiply
    285.88x = 394.42 × 248.97
  4. Step 4: Simplify right side
    285.88x = 98,200.07
  5. Step 5: Solve for x
    x = 98,200.07/285.88
  6. Step 6: Final answer
    x = 343.50

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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.