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Finding the Fourth Proportional to 262.27, 362.03 and 174.97

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Solution

The fourth proportional to 262.27, 362.03 and 174.97 is: 241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.27 : 362.03 = 174.97 : x
  2. Step 2: Convert to fraction form
    262.27/362.03 = 174.97/x
  3. Step 3: Cross multiply
    262.27x = 362.03 × 174.97
  4. Step 4: Simplify right side
    262.27x = 63,344.39
  5. Step 5: Solve for x
    x = 63,344.39/262.27
  6. Step 6: Final answer
    x = 241.52

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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.