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Finding the Fourth Proportional to 285.83, 428.83 and 177.69

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Solution

The fourth proportional to 285.83, 428.83 and 177.69 is: 266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.83 : 428.83 = 177.69 : x
  2. Step 2: Convert to fraction form
    285.83/428.83 = 177.69/x
  3. Step 3: Cross multiply
    285.83x = 428.83 × 177.69
  4. Step 4: Simplify right side
    285.83x = 76,198.36
  5. Step 5: Solve for x
    x = 76,198.36/285.83
  6. Step 6: Final answer
    x = 266.59

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