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Finding the Fourth Proportional to 171.71, 257.23 and 157.71

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Solution

The fourth proportional to 171.71, 257.23 and 157.71 is: 236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.71 : 257.23 = 157.71 : x
  2. Step 2: Convert to fraction form
    171.71/257.23 = 157.71/x
  3. Step 3: Cross multiply
    171.71x = 257.23 × 157.71
  4. Step 4: Simplify right side
    171.71x = 40,566.95
  5. Step 5: Solve for x
    x = 40,566.95/171.71
  6. Step 6: Final answer
    x = 236.25

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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.