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Finding the Fourth Proportional to 256.02, 384.12 and 111.75

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Solution

The fourth proportional to 256.02, 384.12 and 111.75 is: 167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.02 : 384.12 = 111.75 : x
  2. Step 2: Convert to fraction form
    256.02/384.12 = 111.75/x
  3. Step 3: Cross multiply
    256.02x = 384.12 × 111.75
  4. Step 4: Simplify right side
    256.02x = 42,925.41
  5. Step 5: Solve for x
    x = 42,925.41/256.02
  6. Step 6: Final answer
    x = 167.66

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