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Finding the Fourth Proportional to 171.39, 256.72 and 142.43

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Solution

The fourth proportional to 171.39, 256.72 and 142.43 is: 213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.39 : 256.72 = 142.43 : x
  2. Step 2: Convert to fraction form
    171.39/256.72 = 142.43/x
  3. Step 3: Cross multiply
    171.39x = 256.72 × 142.43
  4. Step 4: Simplify right side
    171.39x = 36,564.63
  5. Step 5: Solve for x
    x = 36,564.63/171.39
  6. Step 6: Final answer
    x = 213.34

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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.