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Finding the Fourth Proportional to 331.26, 456.93 and 200.24

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Solution

The fourth proportional to 331.26, 456.93 and 200.24 is: 276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.26 : 456.93 = 200.24 : x
  2. Step 2: Convert to fraction form
    331.26/456.93 = 200.24/x
  3. Step 3: Cross multiply
    331.26x = 456.93 × 200.24
  4. Step 4: Simplify right side
    331.26x = 91,495.66
  5. Step 5: Solve for x
    x = 91,495.66/331.26
  6. Step 6: Final answer
    x = 276.20

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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.