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Finding the Fourth Proportional to 285.78, 428.22 and 177.42

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Solution

The fourth proportional to 285.78, 428.22 and 177.42 is: 265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.78 : 428.22 = 177.42 : x
  2. Step 2: Convert to fraction form
    285.78/428.22 = 177.42/x
  3. Step 3: Cross multiply
    285.78x = 428.22 × 177.42
  4. Step 4: Simplify right side
    285.78x = 75,974.79
  5. Step 5: Solve for x
    x = 75,974.79/285.78
  6. Step 6: Final answer
    x = 265.85

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