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Finding the Fourth Proportional to 242.76, 363.78 and 114.60

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Solution

The fourth proportional to 242.76, 363.78 and 114.60 is: 171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.76 : 363.78 = 114.60 : x
  2. Step 2: Convert to fraction form
    242.76/363.78 = 114.60/x
  3. Step 3: Cross multiply
    242.76x = 363.78 × 114.60
  4. Step 4: Simplify right side
    242.76x = 41,689.19
  5. Step 5: Solve for x
    x = 41,689.19/242.76
  6. Step 6: Final answer
    x = 171.73

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