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Finding the Fourth Proportional to 269.46, 371.64 and 164.56

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Solution

The fourth proportional to 269.46, 371.64 and 164.56 is: 226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.46 : 371.64 = 164.56 : x
  2. Step 2: Convert to fraction form
    269.46/371.64 = 164.56/x
  3. Step 3: Cross multiply
    269.46x = 371.64 × 164.56
  4. Step 4: Simplify right side
    269.46x = 61,157.08
  5. Step 5: Solve for x
    x = 61,157.08/269.46
  6. Step 6: Final answer
    x = 226.96

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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.