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Finding the Fourth Proportional to 285.78, 393.96 and 211.97

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Solution

The fourth proportional to 285.78, 393.96 and 211.97 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.78 : 393.96 = 211.97 : x
  2. Step 2: Convert to fraction form
    285.78/393.96 = 211.97/x
  3. Step 3: Cross multiply
    285.78x = 393.96 × 211.97
  4. Step 4: Simplify right side
    285.78x = 83,507.26
  5. Step 5: Solve for x
    x = 83,507.26/285.78
  6. Step 6: Final answer
    x = 292.21

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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.