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Finding the Fourth Proportional to 174.54, 241.14 and 164.27

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Solution

The fourth proportional to 174.54, 241.14 and 164.27 is: 226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.54 : 241.14 = 164.27 : x
  2. Step 2: Convert to fraction form
    174.54/241.14 = 164.27/x
  3. Step 3: Cross multiply
    174.54x = 241.14 × 164.27
  4. Step 4: Simplify right side
    174.54x = 39,610.86
  5. Step 5: Solve for x
    x = 39,610.86/174.54
  6. Step 6: Final answer
    x = 226.94

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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.