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Finding the Fourth Proportional to 247.80, 341.97 and 137.29

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Solution

The fourth proportional to 247.80, 341.97 and 137.29 is: 189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.80 : 341.97 = 137.29 : x
  2. Step 2: Convert to fraction form
    247.80/341.97 = 137.29/x
  3. Step 3: Cross multiply
    247.80x = 341.97 × 137.29
  4. Step 4: Simplify right side
    247.80x = 46,947.56
  5. Step 5: Solve for x
    x = 46,947.56/247.80
  6. Step 6: Final answer
    x = 189.46

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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.