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Finding the Fourth Proportional to 263.88, 364.05 and 164.23

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Solution

The fourth proportional to 263.88, 364.05 and 164.23 is: 226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.88 : 364.05 = 164.23 : x
  2. Step 2: Convert to fraction form
    263.88/364.05 = 164.23/x
  3. Step 3: Cross multiply
    263.88x = 364.05 × 164.23
  4. Step 4: Simplify right side
    263.88x = 59,785.70
  5. Step 5: Solve for x
    x = 59,785.70/263.88
  6. Step 6: Final answer
    x = 226.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.