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Finding the Fourth Proportional to 171.69, 257.22 and 133.22

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Solution

The fourth proportional to 171.69, 257.22 and 133.22 is: 199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.69 : 257.22 = 133.22 : x
  2. Step 2: Convert to fraction form
    171.69/257.22 = 133.22/x
  3. Step 3: Cross multiply
    171.69x = 257.22 × 133.22
  4. Step 4: Simplify right side
    171.69x = 34,265.56
  5. Step 5: Solve for x
    x = 34,265.56/171.69
  6. Step 6: Final answer
    x = 199.58

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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.