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Finding the Fourth Proportional to 362.85, 500.82 and 223.09

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Solution

The fourth proportional to 362.85, 500.82 and 223.09 is: 307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.85 : 500.82 = 223.09 : x
  2. Step 2: Convert to fraction form
    362.85/500.82 = 223.09/x
  3. Step 3: Cross multiply
    362.85x = 500.82 × 223.09
  4. Step 4: Simplify right side
    362.85x = 111,726.16
  5. Step 5: Solve for x
    x = 111,726.16/362.85
  6. Step 6: Final answer
    x = 307.91

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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.