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Finding the Fourth Proportional to 252.90, 379.29 and 171.72

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Solution

The fourth proportional to 252.90, 379.29 and 171.72 is: 257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.90 : 379.29 = 171.72 : x
  2. Step 2: Convert to fraction form
    252.90/379.29 = 171.72/x
  3. Step 3: Cross multiply
    252.90x = 379.29 × 171.72
  4. Step 4: Simplify right side
    252.90x = 65,131.68
  5. Step 5: Solve for x
    x = 65,131.68/252.90
  6. Step 6: Final answer
    x = 257.54

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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.