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Finding the Fourth Proportional to 171.78, 257.70 and 111

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Solution

The fourth proportional to 171.78, 257.70 and 111 is: 166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.78 : 257.70 = 111 : x
  2. Step 2: Convert to fraction form
    171.78/257.70 = 111/x
  3. Step 3: Cross multiply
    171.78x = 257.70 × 111
  4. Step 4: Simplify right side
    171.78x = 28,604.70
  5. Step 5: Solve for x
    x = 28,604.70/171.78
  6. Step 6: Final answer
    x = 166.52

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