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Finding the Fourth Proportional to 262.83, 361.83 and 197.22

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Solution

The fourth proportional to 262.83, 361.83 and 197.22 is: 271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.83 : 361.83 = 197.22 : x
  2. Step 2: Convert to fraction form
    262.83/361.83 = 197.22/x
  3. Step 3: Cross multiply
    262.83x = 361.83 × 197.22
  4. Step 4: Simplify right side
    262.83x = 71,360.11
  5. Step 5: Solve for x
    x = 71,360.11/262.83
  6. Step 6: Final answer
    x = 271.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.