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Finding the Fourth Proportional to 251.99, 378.06 and 130.22

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Solution

The fourth proportional to 251.99, 378.06 and 130.22 is: 195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.99 : 378.06 = 130.22 : x
  2. Step 2: Convert to fraction form
    251.99/378.06 = 130.22/x
  3. Step 3: Cross multiply
    251.99x = 378.06 × 130.22
  4. Step 4: Simplify right side
    251.99x = 49,229.08
  5. Step 5: Solve for x
    x = 49,229.08/251.99
  6. Step 6: Final answer
    x = 195.37

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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.