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Finding the Fourth Proportional to 169.26, 253.26 and 165.44

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Solution

The fourth proportional to 169.26, 253.26 and 165.44 is: 247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.26 : 253.26 = 165.44 : x
  2. Step 2: Convert to fraction form
    169.26/253.26 = 165.44/x
  3. Step 3: Cross multiply
    169.26x = 253.26 × 165.44
  4. Step 4: Simplify right side
    169.26x = 41,898.07
  5. Step 5: Solve for x
    x = 41,898.07/169.26
  6. Step 6: Final answer
    x = 247.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.