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Finding the Fourth Proportional to 242.07, 363.10 and 97.75

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Solution

The fourth proportional to 242.07, 363.10 and 97.75 is: 146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.07 : 363.10 = 97.75 : x
  2. Step 2: Convert to fraction form
    242.07/363.10 = 97.75/x
  3. Step 3: Cross multiply
    242.07x = 363.10 × 97.75
  4. Step 4: Simplify right side
    242.07x = 35,493.03
  5. Step 5: Solve for x
    x = 35,493.03/242.07
  6. Step 6: Final answer
    x = 146.63

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