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Finding the Fourth Proportional to 171.14, 257.75 and 130.83

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Solution

The fourth proportional to 171.14, 257.75 and 130.83 is: 197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 257.75 = 130.83 : x
  2. Step 2: Convert to fraction form
    171.14/257.75 = 130.83/x
  3. Step 3: Cross multiply
    171.14x = 257.75 × 130.83
  4. Step 4: Simplify right side
    171.14x = 33,720.78
  5. Step 5: Solve for x
    x = 33,720.78/171.14
  6. Step 6: Final answer
    x = 197.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.