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Finding the Fourth Proportional to 263.93, 364.28 and 164.34

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Solution

The fourth proportional to 263.93, 364.28 and 164.34 is: 226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.93 : 364.28 = 164.34 : x
  2. Step 2: Convert to fraction form
    263.93/364.28 = 164.34/x
  3. Step 3: Cross multiply
    263.93x = 364.28 × 164.34
  4. Step 4: Simplify right side
    263.93x = 59,864.95
  5. Step 5: Solve for x
    x = 59,864.95/263.93
  6. Step 6: Final answer
    x = 226.83

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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.