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Finding the Fourth Proportional to 240.84, 361.22 and 163.98

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Solution

The fourth proportional to 240.84, 361.22 and 163.98 is: 245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.84 : 361.22 = 163.98 : x
  2. Step 2: Convert to fraction form
    240.84/361.22 = 163.98/x
  3. Step 3: Cross multiply
    240.84x = 361.22 × 163.98
  4. Step 4: Simplify right side
    240.84x = 59,232.04
  5. Step 5: Solve for x
    x = 59,232.04/240.84
  6. Step 6: Final answer
    x = 245.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.