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Finding the Fourth Proportional to 496.70, 745.00 and 149.96

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Solution

The fourth proportional to 496.70, 745.00 and 149.96 is: 224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.70 : 745.00 = 149.96 : x
  2. Step 2: Convert to fraction form
    496.70/745.00 = 149.96/x
  3. Step 3: Cross multiply
    496.70x = 745.00 × 149.96
  4. Step 4: Simplify right side
    496.70x = 111,719.46
  5. Step 5: Solve for x
    x = 111,719.46/496.70
  6. Step 6: Final answer
    x = 224.92

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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.