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Finding the Fourth Proportional to 171.46, 257.39 and 110.71

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Solution

The fourth proportional to 171.46, 257.39 and 110.71 is: 166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.46 : 257.39 = 110.71 : x
  2. Step 2: Convert to fraction form
    171.46/257.39 = 110.71/x
  3. Step 3: Cross multiply
    171.46x = 257.39 × 110.71
  4. Step 4: Simplify right side
    171.46x = 28,495.65
  5. Step 5: Solve for x
    x = 28,495.65/171.46
  6. Step 6: Final answer
    x = 166.19

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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.