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Finding the Fourth Proportional to 250.80, 345.96 and 180.78

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Solution

The fourth proportional to 250.80, 345.96 and 180.78 is: 249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.80 : 345.96 = 180.78 : x
  2. Step 2: Convert to fraction form
    250.80/345.96 = 180.78/x
  3. Step 3: Cross multiply
    250.80x = 345.96 × 180.78
  4. Step 4: Simplify right side
    250.80x = 62,542.65
  5. Step 5: Solve for x
    x = 62,542.65/250.80
  6. Step 6: Final answer
    x = 249.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.