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Finding the Fourth Proportional to 362.16, 499.64 and 223.92

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Solution

The fourth proportional to 362.16, 499.64 and 223.92 is: 308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.16 : 499.64 = 223.92 : x
  2. Step 2: Convert to fraction form
    362.16/499.64 = 223.92/x
  3. Step 3: Cross multiply
    362.16x = 499.64 × 223.92
  4. Step 4: Simplify right side
    362.16x = 111,879.39
  5. Step 5: Solve for x
    x = 111,879.39/362.16
  6. Step 6: Final answer
    x = 308.92

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Why These Related Problems?

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