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Finding the Fourth Proportional to 282.63, 423.90 and 97.56

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Solution

The fourth proportional to 282.63, 423.90 and 97.56 is: 146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.63 : 423.90 = 97.56 : x
  2. Step 2: Convert to fraction form
    282.63/423.90 = 97.56/x
  3. Step 3: Cross multiply
    282.63x = 423.90 × 97.56
  4. Step 4: Simplify right side
    282.63x = 41,355.68
  5. Step 5: Solve for x
    x = 41,355.68/282.63
  6. Step 6: Final answer
    x = 146.32

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