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Finding the Fourth Proportional to 247.43, 341.47 and 149.24

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Solution

The fourth proportional to 247.43, 341.47 and 149.24 is: 205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.43 : 341.47 = 149.24 : x
  2. Step 2: Convert to fraction form
    247.43/341.47 = 149.24/x
  3. Step 3: Cross multiply
    247.43x = 341.47 × 149.24
  4. Step 4: Simplify right side
    247.43x = 50,961.18
  5. Step 5: Solve for x
    x = 50,961.18/247.43
  6. Step 6: Final answer
    x = 205.96

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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.