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Finding the Fourth Proportional to 174.92, 241.62 and 166.82

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Solution

The fourth proportional to 174.92, 241.62 and 166.82 is: 230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.92 : 241.62 = 166.82 : x
  2. Step 2: Convert to fraction form
    174.92/241.62 = 166.82/x
  3. Step 3: Cross multiply
    174.92x = 241.62 × 166.82
  4. Step 4: Simplify right side
    174.92x = 40,307.05
  5. Step 5: Solve for x
    x = 40,307.05/174.92
  6. Step 6: Final answer
    x = 230.43

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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.