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Finding the Fourth Proportional to 256.82, 385.12 and 102.70

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Solution

The fourth proportional to 256.82, 385.12 and 102.70 is: 154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.82 : 385.12 = 102.70 : x
  2. Step 2: Convert to fraction form
    256.82/385.12 = 102.70/x
  3. Step 3: Cross multiply
    256.82x = 385.12 × 102.70
  4. Step 4: Simplify right side
    256.82x = 39,551.82
  5. Step 5: Solve for x
    x = 39,551.82/256.82
  6. Step 6: Final answer
    x = 154.01

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