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Finding the Fourth Proportional to 251.39, 377.07 and 107.12

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Solution

The fourth proportional to 251.39, 377.07 and 107.12 is: 160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.39 : 377.07 = 107.12 : x
  2. Step 2: Convert to fraction form
    251.39/377.07 = 107.12/x
  3. Step 3: Cross multiply
    251.39x = 377.07 × 107.12
  4. Step 4: Simplify right side
    251.39x = 40,391.74
  5. Step 5: Solve for x
    x = 40,391.74/251.39
  6. Step 6: Final answer
    x = 160.67

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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.