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Finding the Fourth Proportional to 251.28, 377 and 97.22

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Solution

The fourth proportional to 251.28, 377 and 97.22 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.28 : 377 = 97.22 : x
  2. Step 2: Convert to fraction form
    251.28/377 = 97.22/x
  3. Step 3: Cross multiply
    251.28x = 377 × 97.22
  4. Step 4: Simplify right side
    251.28x = 36,651.94
  5. Step 5: Solve for x
    x = 36,651.94/251.28
  6. Step 6: Final answer
    x = 145.86

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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.