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Finding the Fourth Proportional to 242.55, 364.02 and 120.78

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Solution

The fourth proportional to 242.55, 364.02 and 120.78 is: 181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.55 : 364.02 = 120.78 : x
  2. Step 2: Convert to fraction form
    242.55/364.02 = 120.78/x
  3. Step 3: Cross multiply
    242.55x = 364.02 × 120.78
  4. Step 4: Simplify right side
    242.55x = 43,966.34
  5. Step 5: Solve for x
    x = 43,966.34/242.55
  6. Step 6: Final answer
    x = 181.27

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