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Finding the Fourth Proportional to 493.96, 741.13 and 169.14

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Solution

The fourth proportional to 493.96, 741.13 and 169.14 is: 253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.96 : 741.13 = 169.14 : x
  2. Step 2: Convert to fraction form
    493.96/741.13 = 169.14/x
  3. Step 3: Cross multiply
    493.96x = 741.13 × 169.14
  4. Step 4: Simplify right side
    493.96x = 125,354.73
  5. Step 5: Solve for x
    x = 125,354.73/493.96
  6. Step 6: Final answer
    x = 253.78

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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.