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Finding the Fourth Proportional to 262.17, 361.76 and 163.89

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Solution

The fourth proportional to 262.17, 361.76 and 163.89 is: 226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.17 : 361.76 = 163.89 : x
  2. Step 2: Convert to fraction form
    262.17/361.76 = 163.89/x
  3. Step 3: Cross multiply
    262.17x = 361.76 × 163.89
  4. Step 4: Simplify right side
    262.17x = 59,288.03
  5. Step 5: Solve for x
    x = 59,288.03/262.17
  6. Step 6: Final answer
    x = 226.14

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Why These Related Problems?

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