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Finding the Fourth Proportional to 262.97, 363.07 and 164.77

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Solution

The fourth proportional to 262.97, 363.07 and 164.77 is: 227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.97 : 363.07 = 164.77 : x
  2. Step 2: Convert to fraction form
    262.97/363.07 = 164.77/x
  3. Step 3: Cross multiply
    262.97x = 363.07 × 164.77
  4. Step 4: Simplify right side
    262.97x = 59,823.04
  5. Step 5: Solve for x
    x = 59,823.04/262.97
  6. Step 6: Final answer
    x = 227.49

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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.