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Finding the Fourth Proportional to 362.48, 500.22 and 205.12

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Solution

The fourth proportional to 362.48, 500.22 and 205.12 is: 283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.48 : 500.22 = 205.12 : x
  2. Step 2: Convert to fraction form
    362.48/500.22 = 205.12/x
  3. Step 3: Cross multiply
    362.48x = 500.22 × 205.12
  4. Step 4: Simplify right side
    362.48x = 102,605.13
  5. Step 5: Solve for x
    x = 102,605.13/362.48
  6. Step 6: Final answer
    x = 283.06

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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.