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Finding the Fourth Proportional to 285.41, 428.31 and 102.80

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Solution

The fourth proportional to 285.41, 428.31 and 102.80 is: 154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.41 : 428.31 = 102.80 : x
  2. Step 2: Convert to fraction form
    285.41/428.31 = 102.80/x
  3. Step 3: Cross multiply
    285.41x = 428.31 × 102.80
  4. Step 4: Simplify right side
    285.41x = 44,030.27
  5. Step 5: Solve for x
    x = 44,030.27/285.41
  6. Step 6: Final answer
    x = 154.27

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