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Finding the Fourth Proportional to 493.29, 739.92 and 146.61

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Solution

The fourth proportional to 493.29, 739.92 and 146.61 is: 219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.29 : 739.92 = 146.61 : x
  2. Step 2: Convert to fraction form
    493.29/739.92 = 146.61/x
  3. Step 3: Cross multiply
    493.29x = 739.92 × 146.61
  4. Step 4: Simplify right side
    493.29x = 108,479.67
  5. Step 5: Solve for x
    x = 108,479.67/493.29
  6. Step 6: Final answer
    x = 219.91

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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.