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Finding the Fourth Proportional to 171.14, 256.44 and 140.72

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Solution

The fourth proportional to 171.14, 256.44 and 140.72 is: 210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 256.44 = 140.72 : x
  2. Step 2: Convert to fraction form
    171.14/256.44 = 140.72/x
  3. Step 3: Cross multiply
    171.14x = 256.44 × 140.72
  4. Step 4: Simplify right side
    171.14x = 36,086.24
  5. Step 5: Solve for x
    x = 36,086.24/171.14
  6. Step 6: Final answer
    x = 210.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.