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Finding the Fourth Proportional to 263.07, 363.26 and 164.86

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Solution

The fourth proportional to 263.07, 363.26 and 164.86 is: 227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.07 : 363.26 = 164.86 : x
  2. Step 2: Convert to fraction form
    263.07/363.26 = 164.86/x
  3. Step 3: Cross multiply
    263.07x = 363.26 × 164.86
  4. Step 4: Simplify right side
    263.07x = 59,886.55
  5. Step 5: Solve for x
    x = 59,886.55/263.07
  6. Step 6: Final answer
    x = 227.64

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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.