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Finding the Fourth Proportional to 171.12, 254.74 and 170.21

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Solution

The fourth proportional to 171.12, 254.74 and 170.21 is: 253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.12 : 254.74 = 170.21 : x
  2. Step 2: Convert to fraction form
    171.12/254.74 = 170.21/x
  3. Step 3: Cross multiply
    171.12x = 254.74 × 170.21
  4. Step 4: Simplify right side
    171.12x = 43,359.30
  5. Step 5: Solve for x
    x = 43,359.30/171.12
  6. Step 6: Final answer
    x = 253.39

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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.