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Finding the Fourth Proportional to 263.00, 363.05 and 164.73

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Solution

The fourth proportional to 263.00, 363.05 and 164.73 is: 227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.00 : 363.05 = 164.73 : x
  2. Step 2: Convert to fraction form
    263.00/363.05 = 164.73/x
  3. Step 3: Cross multiply
    263.00x = 363.05 × 164.73
  4. Step 4: Simplify right side
    263.00x = 59,804.40
  5. Step 5: Solve for x
    x = 59,804.40/263.00
  6. Step 6: Final answer
    x = 227.40

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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.