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Finding the Fourth Proportional to 251.90, 377.94 and 114.85

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Solution

The fourth proportional to 251.90, 377.94 and 114.85 is: 172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.90 : 377.94 = 114.85 : x
  2. Step 2: Convert to fraction form
    251.90/377.94 = 114.85/x
  3. Step 3: Cross multiply
    251.90x = 377.94 × 114.85
  4. Step 4: Simplify right side
    251.90x = 43,406.41
  5. Step 5: Solve for x
    x = 43,406.41/251.90
  6. Step 6: Final answer
    x = 172.32

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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.