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Finding the Fourth Proportional to 171.63, 256.57 and 128.27

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Solution

The fourth proportional to 171.63, 256.57 and 128.27 is: 191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.63 : 256.57 = 128.27 : x
  2. Step 2: Convert to fraction form
    171.63/256.57 = 128.27/x
  3. Step 3: Cross multiply
    171.63x = 256.57 × 128.27
  4. Step 4: Simplify right side
    171.63x = 32,910.23
  5. Step 5: Solve for x
    x = 32,910.23/171.63
  6. Step 6: Final answer
    x = 191.75

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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.