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Finding the Fourth Proportional to 331.61, 457.47 and 200.52

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Solution

The fourth proportional to 331.61, 457.47 and 200.52 is: 276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.61 : 457.47 = 200.52 : x
  2. Step 2: Convert to fraction form
    331.61/457.47 = 200.52/x
  3. Step 3: Cross multiply
    331.61x = 457.47 × 200.52
  4. Step 4: Simplify right side
    331.61x = 91,731.88
  5. Step 5: Solve for x
    x = 91,731.88/331.61
  6. Step 6: Final answer
    x = 276.63

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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.