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Finding the Fourth Proportional to 251.90, 377.54 and 107.31

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Solution

The fourth proportional to 251.90, 377.54 and 107.31 is: 160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.90 : 377.54 = 107.31 : x
  2. Step 2: Convert to fraction form
    251.90/377.54 = 107.31/x
  3. Step 3: Cross multiply
    251.90x = 377.54 × 107.31
  4. Step 4: Simplify right side
    251.90x = 40,513.82
  5. Step 5: Solve for x
    x = 40,513.82/251.90
  6. Step 6: Final answer
    x = 160.83

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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.