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Finding the Fourth Proportional to 362.12, 499.62 and 224.12

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Solution

The fourth proportional to 362.12, 499.62 and 224.12 is: 309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.12 : 499.62 = 224.12 : x
  2. Step 2: Convert to fraction form
    362.12/499.62 = 224.12/x
  3. Step 3: Cross multiply
    362.12x = 499.62 × 224.12
  4. Step 4: Simplify right side
    362.12x = 111,974.83
  5. Step 5: Solve for x
    x = 111,974.83/362.12
  6. Step 6: Final answer
    x = 309.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.