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Finding the Fourth Proportional to 171.55, 257.26 and 120.31

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Solution

The fourth proportional to 171.55, 257.26 and 120.31 is: 180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.55 : 257.26 = 120.31 : x
  2. Step 2: Convert to fraction form
    171.55/257.26 = 120.31/x
  3. Step 3: Cross multiply
    171.55x = 257.26 × 120.31
  4. Step 4: Simplify right side
    171.55x = 30,950.95
  5. Step 5: Solve for x
    x = 30,950.95/171.55
  6. Step 6: Final answer
    x = 180.42

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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.