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Finding the Fourth Proportional to 256.02, 353.78 and 193.74

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Solution

The fourth proportional to 256.02, 353.78 and 193.74 is: 267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.02 : 353.78 = 193.74 : x
  2. Step 2: Convert to fraction form
    256.02/353.78 = 193.74/x
  3. Step 3: Cross multiply
    256.02x = 353.78 × 193.74
  4. Step 4: Simplify right side
    256.02x = 68,541.34
  5. Step 5: Solve for x
    x = 68,541.34/256.02
  6. Step 6: Final answer
    x = 267.72

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