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Finding the Fourth Proportional to 262.52, 362.44 and 169.30

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Solution

The fourth proportional to 262.52, 362.44 and 169.30 is: 233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.52 : 362.44 = 169.30 : x
  2. Step 2: Convert to fraction form
    262.52/362.44 = 169.30/x
  3. Step 3: Cross multiply
    262.52x = 362.44 × 169.30
  4. Step 4: Simplify right side
    262.52x = 61,361.09
  5. Step 5: Solve for x
    x = 61,361.09/262.52
  6. Step 6: Final answer
    x = 233.74

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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.