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Finding the Fourth Proportional to 251.96, 377.94 and 115.05

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Solution

The fourth proportional to 251.96, 377.94 and 115.05 is: 172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.96 : 377.94 = 115.05 : x
  2. Step 2: Convert to fraction form
    251.96/377.94 = 115.05/x
  3. Step 3: Cross multiply
    251.96x = 377.94 × 115.05
  4. Step 4: Simplify right side
    251.96x = 43,479.53
  5. Step 5: Solve for x
    x = 43,479.53/251.96
  6. Step 6: Final answer
    x = 172.57

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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.