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Finding the Fourth Proportional to 493.84, 740.68 and 164.73

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Solution

The fourth proportional to 493.84, 740.68 and 164.73 is: 247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.84 : 740.68 = 164.73 : x
  2. Step 2: Convert to fraction form
    493.84/740.68 = 164.73/x
  3. Step 3: Cross multiply
    493.84x = 740.68 × 164.73
  4. Step 4: Simplify right side
    493.84x = 122,014.58
  5. Step 5: Solve for x
    x = 122,014.58/493.84
  6. Step 6: Final answer
    x = 247.07

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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.