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Finding the Fourth Proportional to 282.32, 423.48 and 179.76

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Solution

The fourth proportional to 282.32, 423.48 and 179.76 is: 269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.32 : 423.48 = 179.76 : x
  2. Step 2: Convert to fraction form
    282.32/423.48 = 179.76/x
  3. Step 3: Cross multiply
    282.32x = 423.48 × 179.76
  4. Step 4: Simplify right side
    282.32x = 76,124.76
  5. Step 5: Solve for x
    x = 76,124.76/282.32
  6. Step 6: Final answer
    x = 269.64

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