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Finding the Fourth Proportional to 171.58, 257.14 and 110.68

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Solution

The fourth proportional to 171.58, 257.14 and 110.68 is: 165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.58 : 257.14 = 110.68 : x
  2. Step 2: Convert to fraction form
    171.58/257.14 = 110.68/x
  3. Step 3: Cross multiply
    171.58x = 257.14 × 110.68
  4. Step 4: Simplify right side
    171.58x = 28,460.26
  5. Step 5: Solve for x
    x = 28,460.26/171.58
  6. Step 6: Final answer
    x = 165.87

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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.