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Finding the Fourth Proportional to 282.43, 423.75 and 174.09

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Solution

The fourth proportional to 282.43, 423.75 and 174.09 is: 261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.43 : 423.75 = 174.09 : x
  2. Step 2: Convert to fraction form
    282.43/423.75 = 174.09/x
  3. Step 3: Cross multiply
    282.43x = 423.75 × 174.09
  4. Step 4: Simplify right side
    282.43x = 73,769.77
  5. Step 5: Solve for x
    x = 73,769.77/282.43
  6. Step 6: Final answer
    x = 261.20

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