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Finding the Fourth Proportional to 253.91, 380.66 and 109.73

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Solution

The fourth proportional to 253.91, 380.66 and 109.73 is: 164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.91 : 380.66 = 109.73 : x
  2. Step 2: Convert to fraction form
    253.91/380.66 = 109.73/x
  3. Step 3: Cross multiply
    253.91x = 380.66 × 109.73
  4. Step 4: Simplify right side
    253.91x = 41,769.82
  5. Step 5: Solve for x
    x = 41,769.82/253.91
  6. Step 6: Final answer
    x = 164.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.