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Finding the Fourth Proportional to 282.54, 423.81 and 99.96

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Solution

The fourth proportional to 282.54, 423.81 and 99.96 is: 149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.54 : 423.81 = 99.96 : x
  2. Step 2: Convert to fraction form
    282.54/423.81 = 99.96/x
  3. Step 3: Cross multiply
    282.54x = 423.81 × 99.96
  4. Step 4: Simplify right side
    282.54x = 42,364.05
  5. Step 5: Solve for x
    x = 42,364.05/282.54
  6. Step 6: Final answer
    x = 149.94

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