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Finding the Fourth Proportional to 171.69, 257.52 and 137.66

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Solution

The fourth proportional to 171.69, 257.52 and 137.66 is: 206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.69 : 257.52 = 137.66 : x
  2. Step 2: Convert to fraction form
    171.69/257.52 = 137.66/x
  3. Step 3: Cross multiply
    171.69x = 257.52 × 137.66
  4. Step 4: Simplify right side
    171.69x = 35,450.49
  5. Step 5: Solve for x
    x = 35,450.49/171.69
  6. Step 6: Final answer
    x = 206.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.