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Finding the Fourth Proportional to 262.02, 361.84 and 168.94

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Solution

The fourth proportional to 262.02, 361.84 and 168.94 is: 233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.02 : 361.84 = 168.94 : x
  2. Step 2: Convert to fraction form
    262.02/361.84 = 168.94/x
  3. Step 3: Cross multiply
    262.02x = 361.84 × 168.94
  4. Step 4: Simplify right side
    262.02x = 61,129.25
  5. Step 5: Solve for x
    x = 61,129.25/262.02
  6. Step 6: Final answer
    x = 233.30

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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.