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Finding the Fourth Proportional to 282.80, 423.96 and 154.64

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Solution

The fourth proportional to 282.80, 423.96 and 154.64 is: 231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 423.96 = 154.64 : x
  2. Step 2: Convert to fraction form
    282.80/423.96 = 154.64/x
  3. Step 3: Cross multiply
    282.80x = 423.96 × 154.64
  4. Step 4: Simplify right side
    282.80x = 65,561.17
  5. Step 5: Solve for x
    x = 65,561.17/282.80
  6. Step 6: Final answer
    x = 231.83

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