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Finding the Fourth Proportional to 285.78, 428.69 and 155.88

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Solution

The fourth proportional to 285.78, 428.69 and 155.88 is: 233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.78 : 428.69 = 155.88 : x
  2. Step 2: Convert to fraction form
    285.78/428.69 = 155.88/x
  3. Step 3: Cross multiply
    285.78x = 428.69 × 155.88
  4. Step 4: Simplify right side
    285.78x = 66,823.42
  5. Step 5: Solve for x
    x = 66,823.42/285.78
  6. Step 6: Final answer
    x = 233.83

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