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Finding the Fourth Proportional to 496.68, 745.23 and 222.71

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Solution

The fourth proportional to 496.68, 745.23 and 222.71 is: 334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.68 : 745.23 = 222.71 : x
  2. Step 2: Convert to fraction form
    496.68/745.23 = 222.71/x
  3. Step 3: Cross multiply
    496.68x = 745.23 × 222.71
  4. Step 4: Simplify right side
    496.68x = 165,966.45
  5. Step 5: Solve for x
    x = 165,966.45/496.68
  6. Step 6: Final answer
    x = 334.15

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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.