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Finding the Fourth Proportional to 262.36, 361.92 and 169.08

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Solution

The fourth proportional to 262.36, 361.92 and 169.08 is: 233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.36 : 361.92 = 169.08 : x
  2. Step 2: Convert to fraction form
    262.36/361.92 = 169.08/x
  3. Step 3: Cross multiply
    262.36x = 361.92 × 169.08
  4. Step 4: Simplify right side
    262.36x = 61,193.43
  5. Step 5: Solve for x
    x = 61,193.43/262.36
  6. Step 6: Final answer
    x = 233.24

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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.