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Finding the Fourth Proportional to 171.70, 257.18 and 142.74

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Solution

The fourth proportional to 171.70, 257.18 and 142.74 is: 213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.70 : 257.18 = 142.74 : x
  2. Step 2: Convert to fraction form
    171.70/257.18 = 142.74/x
  3. Step 3: Cross multiply
    171.70x = 257.18 × 142.74
  4. Step 4: Simplify right side
    171.70x = 36,709.87
  5. Step 5: Solve for x
    x = 36,709.87/171.70
  6. Step 6: Final answer
    x = 213.80

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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.