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Finding the Fourth Proportional to 253.82, 350.37 and 149

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Solution

The fourth proportional to 253.82, 350.37 and 149 is: 205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.82 : 350.37 = 149 : x
  2. Step 2: Convert to fraction form
    253.82/350.37 = 149/x
  3. Step 3: Cross multiply
    253.82x = 350.37 × 149
  4. Step 4: Simplify right side
    253.82x = 52,205.13
  5. Step 5: Solve for x
    x = 52,205.13/253.82
  6. Step 6: Final answer
    x = 205.68

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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.