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Finding the Fourth Proportional to 402.16, 603.24 and 185.71

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Solution

The fourth proportional to 402.16, 603.24 and 185.71 is: 278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.16 : 603.24 = 185.71 : x
  2. Step 2: Convert to fraction form
    402.16/603.24 = 185.71/x
  3. Step 3: Cross multiply
    402.16x = 603.24 × 185.71
  4. Step 4: Simplify right side
    402.16x = 112,027.70
  5. Step 5: Solve for x
    x = 112,027.70/402.16
  6. Step 6: Final answer
    x = 278.57

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