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Finding the Fourth Proportional to 253.31, 379.96 and 180.51

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Solution

The fourth proportional to 253.31, 379.96 and 180.51 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.31 : 379.96 = 180.51 : x
  2. Step 2: Convert to fraction form
    253.31/379.96 = 180.51/x
  3. Step 3: Cross multiply
    253.31x = 379.96 × 180.51
  4. Step 4: Simplify right side
    253.31x = 68,584.70
  5. Step 5: Solve for x
    x = 68,584.70/253.31
  6. Step 6: Final answer
    x = 270.76

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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.