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Finding the Fourth Proportional to 205.76, 284.00 and 122.92

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Solution

The fourth proportional to 205.76, 284.00 and 122.92 is: 169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.76 : 284.00 = 122.92 : x
  2. Step 2: Convert to fraction form
    205.76/284.00 = 122.92/x
  3. Step 3: Cross multiply
    205.76x = 284.00 × 122.92
  4. Step 4: Simplify right side
    205.76x = 34,907.25
  5. Step 5: Solve for x
    x = 34,907.25/205.76
  6. Step 6: Final answer
    x = 169.65

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