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Finding the Fourth Proportional to 282.09, 423.15 and 89.72

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Solution

The fourth proportional to 282.09, 423.15 and 89.72 is: 134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.09 : 423.15 = 89.72 : x
  2. Step 2: Convert to fraction form
    282.09/423.15 = 89.72/x
  3. Step 3: Cross multiply
    282.09x = 423.15 × 89.72
  4. Step 4: Simplify right side
    282.09x = 37,964.15
  5. Step 5: Solve for x
    x = 37,964.15/282.09
  6. Step 6: Final answer
    x = 134.58

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