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Finding the Fourth Proportional to 331.93, 457.82 and 200.77

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Solution

The fourth proportional to 331.93, 457.82 and 200.77 is: 276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.93 : 457.82 = 200.77 : x
  2. Step 2: Convert to fraction form
    331.93/457.82 = 200.77/x
  3. Step 3: Cross multiply
    331.93x = 457.82 × 200.77
  4. Step 4: Simplify right side
    331.93x = 91,915.52
  5. Step 5: Solve for x
    x = 91,915.52/331.93
  6. Step 6: Final answer
    x = 276.91

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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.