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Finding the Fourth Proportional to 493.21, 739.93 and 146.55

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Solution

The fourth proportional to 493.21, 739.93 and 146.55 is: 219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.21 : 739.93 = 146.55 : x
  2. Step 2: Convert to fraction form
    493.21/739.93 = 146.55/x
  3. Step 3: Cross multiply
    493.21x = 739.93 × 146.55
  4. Step 4: Simplify right side
    493.21x = 108,436.74
  5. Step 5: Solve for x
    x = 108,436.74/493.21
  6. Step 6: Final answer
    x = 219.86

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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.