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Finding the Fourth Proportional to 493.86, 740.92 and 169.22

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Solution

The fourth proportional to 493.86, 740.92 and 169.22 is: 253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.86 : 740.92 = 169.22 : x
  2. Step 2: Convert to fraction form
    493.86/740.92 = 169.22/x
  3. Step 3: Cross multiply
    493.86x = 740.92 × 169.22
  4. Step 4: Simplify right side
    493.86x = 125,378.48
  5. Step 5: Solve for x
    x = 125,378.48/493.86
  6. Step 6: Final answer
    x = 253.87

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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.