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Finding the Fourth Proportional to 283.24, 424.70 and 180.68

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Solution

The fourth proportional to 283.24, 424.70 and 180.68 is: 270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.24 : 424.70 = 180.68 : x
  2. Step 2: Convert to fraction form
    283.24/424.70 = 180.68/x
  3. Step 3: Cross multiply
    283.24x = 424.70 × 180.68
  4. Step 4: Simplify right side
    283.24x = 76,734.80
  5. Step 5: Solve for x
    x = 76,734.80/283.24
  6. Step 6: Final answer
    x = 270.92

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