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Finding the Fourth Proportional to 251.94, 378.07 and 115.06

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Solution

The fourth proportional to 251.94, 378.07 and 115.06 is: 172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.94 : 378.07 = 115.06 : x
  2. Step 2: Convert to fraction form
    251.94/378.07 = 115.06/x
  3. Step 3: Cross multiply
    251.94x = 378.07 × 115.06
  4. Step 4: Simplify right side
    251.94x = 43,500.73
  5. Step 5: Solve for x
    x = 43,500.73/251.94
  6. Step 6: Final answer
    x = 172.66

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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.