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Finding the Fourth Proportional to 278.88, 417 and 213.12

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Solution

The fourth proportional to 278.88, 417 and 213.12 is: 318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.88 : 417 = 213.12 : x
  2. Step 2: Convert to fraction form
    278.88/417 = 213.12/x
  3. Step 3: Cross multiply
    278.88x = 417 × 213.12
  4. Step 4: Simplify right side
    278.88x = 88,871.04
  5. Step 5: Solve for x
    x = 88,871.04/278.88
  6. Step 6: Final answer
    x = 318.67

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