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Finding the Fourth Proportional to 493.97, 740.87 and 164.86

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Solution

The fourth proportional to 493.97, 740.87 and 164.86 is: 247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.97 : 740.87 = 164.86 : x
  2. Step 2: Convert to fraction form
    493.97/740.87 = 164.86/x
  3. Step 3: Cross multiply
    493.97x = 740.87 × 164.86
  4. Step 4: Simplify right side
    493.97x = 122,138.08
  5. Step 5: Solve for x
    x = 122,138.08/493.97
  6. Step 6: Final answer
    x = 247.26

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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.