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Finding the Fourth Proportional to 262.54, 361.87 and 230.95

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Solution

The fourth proportional to 262.54, 361.87 and 230.95 is: 318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.54 : 361.87 = 230.95 : x
  2. Step 2: Convert to fraction form
    262.54/361.87 = 230.95/x
  3. Step 3: Cross multiply
    262.54x = 361.87 × 230.95
  4. Step 4: Simplify right side
    262.54x = 83,573.88
  5. Step 5: Solve for x
    x = 83,573.88/262.54
  6. Step 6: Final answer
    x = 318.33

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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.