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Finding the Fourth Proportional to 251.67, 377.57 and 105.34

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Solution

The fourth proportional to 251.67, 377.57 and 105.34 is: 158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.67 : 377.57 = 105.34 : x
  2. Step 2: Convert to fraction form
    251.67/377.57 = 105.34/x
  3. Step 3: Cross multiply
    251.67x = 377.57 × 105.34
  4. Step 4: Simplify right side
    251.67x = 39,773.88
  5. Step 5: Solve for x
    x = 39,773.88/251.67
  6. Step 6: Final answer
    x = 158.04

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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.