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Finding the Fourth Proportional to 250.90, 376.18 and 142.54

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Solution

The fourth proportional to 250.90, 376.18 and 142.54 is: 213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.90 : 376.18 = 142.54 : x
  2. Step 2: Convert to fraction form
    250.90/376.18 = 142.54/x
  3. Step 3: Cross multiply
    250.90x = 376.18 × 142.54
  4. Step 4: Simplify right side
    250.90x = 53,620.70
  5. Step 5: Solve for x
    x = 53,620.70/250.90
  6. Step 6: Final answer
    x = 213.71

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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.