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Finding the Fourth Proportional to 171.04, 256.12 and 122.44

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Solution

The fourth proportional to 171.04, 256.12 and 122.44 is: 183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.04 : 256.12 = 122.44 : x
  2. Step 2: Convert to fraction form
    171.04/256.12 = 122.44/x
  3. Step 3: Cross multiply
    171.04x = 256.12 × 122.44
  4. Step 4: Simplify right side
    171.04x = 31,359.33
  5. Step 5: Solve for x
    x = 31,359.33/171.04
  6. Step 6: Final answer
    x = 183.35

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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.