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Finding the Fourth Proportional to 247.73, 341.82 and 149.47

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Solution

The fourth proportional to 247.73, 341.82 and 149.47 is: 206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.73 : 341.82 = 149.47 : x
  2. Step 2: Convert to fraction form
    247.73/341.82 = 149.47/x
  3. Step 3: Cross multiply
    247.73x = 341.82 × 149.47
  4. Step 4: Simplify right side
    247.73x = 51,091.94
  5. Step 5: Solve for x
    x = 51,091.94/247.73
  6. Step 6: Final answer
    x = 206.24

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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.