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Finding the Fourth Proportional to 278.12, 417.18 and 85.74

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Solution

The fourth proportional to 278.12, 417.18 and 85.74 is: 128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.12 : 417.18 = 85.74 : x
  2. Step 2: Convert to fraction form
    278.12/417.18 = 85.74/x
  3. Step 3: Cross multiply
    278.12x = 417.18 × 85.74
  4. Step 4: Simplify right side
    278.12x = 35,769.01
  5. Step 5: Solve for x
    x = 35,769.01/278.12
  6. Step 6: Final answer
    x = 128.61

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