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Finding the Fourth Proportional to 259.08, 387.65 and 186.78

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Solution

The fourth proportional to 259.08, 387.65 and 186.78 is: 279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.08 : 387.65 = 186.78 : x
  2. Step 2: Convert to fraction form
    259.08/387.65 = 186.78/x
  3. Step 3: Cross multiply
    259.08x = 387.65 × 186.78
  4. Step 4: Simplify right side
    259.08x = 72,404.33
  5. Step 5: Solve for x
    x = 72,404.33/259.08
  6. Step 6: Final answer
    x = 279.47

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