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Finding the Fourth Proportional to 171.28, 257.00 and 106.43

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Solution

The fourth proportional to 171.28, 257.00 and 106.43 is: 159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.28 : 257.00 = 106.43 : x
  2. Step 2: Convert to fraction form
    171.28/257.00 = 106.43/x
  3. Step 3: Cross multiply
    171.28x = 257.00 × 106.43
  4. Step 4: Simplify right side
    171.28x = 27,350.69
  5. Step 5: Solve for x
    x = 27,350.69/171.28
  6. Step 6: Final answer
    x = 159.68

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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.