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Finding the Fourth Proportional to 262.76, 362.43 and 164.34

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Solution

The fourth proportional to 262.76, 362.43 and 164.34 is: 226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.76 : 362.43 = 164.34 : x
  2. Step 2: Convert to fraction form
    262.76/362.43 = 164.34/x
  3. Step 3: Cross multiply
    262.76x = 362.43 × 164.34
  4. Step 4: Simplify right side
    262.76x = 59,561.75
  5. Step 5: Solve for x
    x = 59,561.75/262.76
  6. Step 6: Final answer
    x = 226.68

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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.