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Finding the Fourth Proportional to 435.74, 653.56 and 161.84

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Solution

The fourth proportional to 435.74, 653.56 and 161.84 is: 242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.74 : 653.56 = 161.84 : x
  2. Step 2: Convert to fraction form
    435.74/653.56 = 161.84/x
  3. Step 3: Cross multiply
    435.74x = 653.56 × 161.84
  4. Step 4: Simplify right side
    435.74x = 105,768.48
  5. Step 5: Solve for x
    x = 105,768.48/435.74
  6. Step 6: Final answer
    x = 242.73

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