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Finding the Fourth Proportional to 252.71, 379.34 and 180.89

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Solution

The fourth proportional to 252.71, 379.34 and 180.89 is: 271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.71 : 379.34 = 180.89 : x
  2. Step 2: Convert to fraction form
    252.71/379.34 = 180.89/x
  3. Step 3: Cross multiply
    252.71x = 379.34 × 180.89
  4. Step 4: Simplify right side
    252.71x = 68,620.21
  5. Step 5: Solve for x
    x = 68,620.21/252.71
  6. Step 6: Final answer
    x = 271.53

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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.