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Finding the Fourth Proportional to 263.83, 364.26 and 164.36

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Solution

The fourth proportional to 263.83, 364.26 and 164.36 is: 226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.83 : 364.26 = 164.36 : x
  2. Step 2: Convert to fraction form
    263.83/364.26 = 164.36/x
  3. Step 3: Cross multiply
    263.83x = 364.26 × 164.36
  4. Step 4: Simplify right side
    263.83x = 59,869.77
  5. Step 5: Solve for x
    x = 59,869.77/263.83
  6. Step 6: Final answer
    x = 226.93

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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.