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Finding the Fourth Proportional to 331.73, 457.85 and 200.81

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Solution

The fourth proportional to 331.73, 457.85 and 200.81 is: 277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.73 : 457.85 = 200.81 : x
  2. Step 2: Convert to fraction form
    331.73/457.85 = 200.81/x
  3. Step 3: Cross multiply
    331.73x = 457.85 × 200.81
  4. Step 4: Simplify right side
    331.73x = 91,942.51
  5. Step 5: Solve for x
    x = 91,942.51/331.73
  6. Step 6: Final answer
    x = 277.16

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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.