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Finding the Fourth Proportional to 253.97, 350.47 and 149.12

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Solution

The fourth proportional to 253.97, 350.47 and 149.12 is: 205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.97 : 350.47 = 149.12 : x
  2. Step 2: Convert to fraction form
    253.97/350.47 = 149.12/x
  3. Step 3: Cross multiply
    253.97x = 350.47 × 149.12
  4. Step 4: Simplify right side
    253.97x = 52,262.09
  5. Step 5: Solve for x
    x = 52,262.09/253.97
  6. Step 6: Final answer
    x = 205.78

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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.