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Finding the Fourth Proportional to 171.83, 256.22 and 169.71

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Solution

The fourth proportional to 171.83, 256.22 and 169.71 is: 253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.83 : 256.22 = 169.71 : x
  2. Step 2: Convert to fraction form
    171.83/256.22 = 169.71/x
  3. Step 3: Cross multiply
    171.83x = 256.22 × 169.71
  4. Step 4: Simplify right side
    171.83x = 43,481.92
  5. Step 5: Solve for x
    x = 43,481.92/171.83
  6. Step 6: Final answer
    x = 253.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.