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Finding the Fourth Proportional to 205.02, 282.74 and 167.96

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Solution

The fourth proportional to 205.02, 282.74 and 167.96 is: 231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.02 : 282.74 = 167.96 : x
  2. Step 2: Convert to fraction form
    205.02/282.74 = 167.96/x
  3. Step 3: Cross multiply
    205.02x = 282.74 × 167.96
  4. Step 4: Simplify right side
    205.02x = 47,486.76
  5. Step 5: Solve for x
    x = 47,486.76/205.02
  6. Step 6: Final answer
    x = 231.62

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