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Finding the Fourth Proportional to 256.99, 385.41 and 110.74

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Solution

The fourth proportional to 256.99, 385.41 and 110.74 is: 166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.99 : 385.41 = 110.74 : x
  2. Step 2: Convert to fraction form
    256.99/385.41 = 110.74/x
  3. Step 3: Cross multiply
    256.99x = 385.41 × 110.74
  4. Step 4: Simplify right side
    256.99x = 42,680.30
  5. Step 5: Solve for x
    x = 42,680.30/256.99
  6. Step 6: Final answer
    x = 166.08

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