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Finding the Fourth Proportional to 171.74, 257.07 and 110.78

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Solution

The fourth proportional to 171.74, 257.07 and 110.78 is: 165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.74 : 257.07 = 110.78 : x
  2. Step 2: Convert to fraction form
    171.74/257.07 = 110.78/x
  3. Step 3: Cross multiply
    171.74x = 257.07 × 110.78
  4. Step 4: Simplify right side
    171.74x = 28,478.21
  5. Step 5: Solve for x
    x = 28,478.21/171.74
  6. Step 6: Final answer
    x = 165.82

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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.