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Finding the Fourth Proportional to 251.56, 376.97 and 141.83

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Solution

The fourth proportional to 251.56, 376.97 and 141.83 is: 212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.56 : 376.97 = 141.83 : x
  2. Step 2: Convert to fraction form
    251.56/376.97 = 141.83/x
  3. Step 3: Cross multiply
    251.56x = 376.97 × 141.83
  4. Step 4: Simplify right side
    251.56x = 53,464.47
  5. Step 5: Solve for x
    x = 53,464.47/251.56
  6. Step 6: Final answer
    x = 212.53

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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.