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Finding the Fourth Proportional to 256.74, 385.38 and 128.76

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Solution

The fourth proportional to 256.74, 385.38 and 128.76 is: 193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.74 : 385.38 = 128.76 : x
  2. Step 2: Convert to fraction form
    256.74/385.38 = 128.76/x
  3. Step 3: Cross multiply
    256.74x = 385.38 × 128.76
  4. Step 4: Simplify right side
    256.74x = 49,621.53
  5. Step 5: Solve for x
    x = 49,621.53/256.74
  6. Step 6: Final answer
    x = 193.28

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