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Finding the Fourth Proportional to 174.43, 241.82 and 165.19

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Solution

The fourth proportional to 174.43, 241.82 and 165.19 is: 229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.43 : 241.82 = 165.19 : x
  2. Step 2: Convert to fraction form
    174.43/241.82 = 165.19/x
  3. Step 3: Cross multiply
    174.43x = 241.82 × 165.19
  4. Step 4: Simplify right side
    174.43x = 39,944.62
  5. Step 5: Solve for x
    x = 39,944.62/174.43
  6. Step 6: Final answer
    x = 229.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.