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Finding the Fourth Proportional to 253.87, 350.11 and 182.81

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Solution

The fourth proportional to 253.87, 350.11 and 182.81 is: 252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.87 : 350.11 = 182.81 : x
  2. Step 2: Convert to fraction form
    253.87/350.11 = 182.81/x
  3. Step 3: Cross multiply
    253.87x = 350.11 × 182.81
  4. Step 4: Simplify right side
    253.87x = 64,003.61
  5. Step 5: Solve for x
    x = 64,003.61/253.87
  6. Step 6: Final answer
    x = 252.11

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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.