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Finding the Fourth Proportional to 282.88, 423.48 and 160.76

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Solution

The fourth proportional to 282.88, 423.48 and 160.76 is: 240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.88 : 423.48 = 160.76 : x
  2. Step 2: Convert to fraction form
    282.88/423.48 = 160.76/x
  3. Step 3: Cross multiply
    282.88x = 423.48 × 160.76
  4. Step 4: Simplify right side
    282.88x = 68,078.64
  5. Step 5: Solve for x
    x = 68,078.64/282.88
  6. Step 6: Final answer
    x = 240.66

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