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Finding the Fourth Proportional to 282.15, 422.81 and 174.03

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Solution

The fourth proportional to 282.15, 422.81 and 174.03 is: 260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.15 : 422.81 = 174.03 : x
  2. Step 2: Convert to fraction form
    282.15/422.81 = 174.03/x
  3. Step 3: Cross multiply
    282.15x = 422.81 × 174.03
  4. Step 4: Simplify right side
    282.15x = 73,580.75
  5. Step 5: Solve for x
    x = 73,580.75/282.15
  6. Step 6: Final answer
    x = 260.79

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