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Finding the Fourth Proportional to 171.68, 256.28 and 159.63

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Solution

The fourth proportional to 171.68, 256.28 and 159.63 is: 238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.68 : 256.28 = 159.63 : x
  2. Step 2: Convert to fraction form
    171.68/256.28 = 159.63/x
  3. Step 3: Cross multiply
    171.68x = 256.28 × 159.63
  4. Step 4: Simplify right side
    171.68x = 40,910.38
  5. Step 5: Solve for x
    x = 40,910.38/171.68
  6. Step 6: Final answer
    x = 238.29

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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.