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Finding the Fourth Proportional to 174.92, 241.60 and 142.30

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Solution

The fourth proportional to 174.92, 241.60 and 142.30 is: 196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.92 : 241.60 = 142.30 : x
  2. Step 2: Convert to fraction form
    174.92/241.60 = 142.30/x
  3. Step 3: Cross multiply
    174.92x = 241.60 × 142.30
  4. Step 4: Simplify right side
    174.92x = 34,379.68
  5. Step 5: Solve for x
    x = 34,379.68/174.92
  6. Step 6: Final answer
    x = 196.55

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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.