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Finding the Fourth Proportional to 202.04, 278.81 and 114.71

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Solution

The fourth proportional to 202.04, 278.81 and 114.71 is: 158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.04 : 278.81 = 114.71 : x
  2. Step 2: Convert to fraction form
    202.04/278.81 = 114.71/x
  3. Step 3: Cross multiply
    202.04x = 278.81 × 114.71
  4. Step 4: Simplify right side
    202.04x = 31,982.30
  5. Step 5: Solve for x
    x = 31,982.30/202.04
  6. Step 6: Final answer
    x = 158.30

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