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Finding the Fourth Proportional to 253.92, 350.41 and 137.48

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Solution

The fourth proportional to 253.92, 350.41 and 137.48 is: 189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.92 : 350.41 = 137.48 : x
  2. Step 2: Convert to fraction form
    253.92/350.41 = 137.48/x
  3. Step 3: Cross multiply
    253.92x = 350.41 × 137.48
  4. Step 4: Simplify right side
    253.92x = 48,173.68
  5. Step 5: Solve for x
    x = 48,173.68/253.92
  6. Step 6: Final answer
    x = 189.72

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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.