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Finding the Fourth Proportional to 247.25, 341.16 and 149.03

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Solution

The fourth proportional to 247.25, 341.16 and 149.03 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.25 : 341.16 = 149.03 : x
  2. Step 2: Convert to fraction form
    247.25/341.16 = 149.03/x
  3. Step 3: Cross multiply
    247.25x = 341.16 × 149.03
  4. Step 4: Simplify right side
    247.25x = 50,843.07
  5. Step 5: Solve for x
    x = 50,843.07/247.25
  6. Step 6: Final answer
    x = 205.63

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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.