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Finding the Fourth Proportional to 256.76, 354 and 209.60

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Solution

The fourth proportional to 256.76, 354 and 209.60 is: 288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.76 : 354 = 209.60 : x
  2. Step 2: Convert to fraction form
    256.76/354 = 209.60/x
  3. Step 3: Cross multiply
    256.76x = 354 × 209.60
  4. Step 4: Simplify right side
    256.76x = 74,198.40
  5. Step 5: Solve for x
    x = 74,198.40/256.76
  6. Step 6: Final answer
    x = 288.98

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