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Finding the Fourth Proportional to 171.54, 256.07 and 159.39

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Solution

The fourth proportional to 171.54, 256.07 and 159.39 is: 237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.54 : 256.07 = 159.39 : x
  2. Step 2: Convert to fraction form
    171.54/256.07 = 159.39/x
  3. Step 3: Cross multiply
    171.54x = 256.07 × 159.39
  4. Step 4: Simplify right side
    171.54x = 40,815.40
  5. Step 5: Solve for x
    x = 40,815.40/171.54
  6. Step 6: Final answer
    x = 237.94

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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.