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Finding the Fourth Proportional to 254.11, 350.67 and 137.67

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Solution

The fourth proportional to 254.11, 350.67 and 137.67 is: 189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.11 : 350.67 = 137.67 : x
  2. Step 2: Convert to fraction form
    254.11/350.67 = 137.67/x
  3. Step 3: Cross multiply
    254.11x = 350.67 × 137.67
  4. Step 4: Simplify right side
    254.11x = 48,278.57
  5. Step 5: Solve for x
    x = 48,278.57/254.11
  6. Step 6: Final answer
    x = 189.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.