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Finding the Fourth Proportional to 496.60, 745.04 and 149.96

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Solution

The fourth proportional to 496.60, 745.04 and 149.96 is: 224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.60 : 745.04 = 149.96 : x
  2. Step 2: Convert to fraction form
    496.60/745.04 = 149.96/x
  3. Step 3: Cross multiply
    496.60x = 745.04 × 149.96
  4. Step 4: Simplify right side
    496.60x = 111,726.20
  5. Step 5: Solve for x
    x = 111,726.20/496.60
  6. Step 6: Final answer
    x = 224.98

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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.