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Finding the Fourth Proportional to 331.65, 457.42 and 200.52

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Solution

The fourth proportional to 331.65, 457.42 and 200.52 is: 276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.65 : 457.42 = 200.52 : x
  2. Step 2: Convert to fraction form
    331.65/457.42 = 200.52/x
  3. Step 3: Cross multiply
    331.65x = 457.42 × 200.52
  4. Step 4: Simplify right side
    331.65x = 91,721.86
  5. Step 5: Solve for x
    x = 91,721.86/331.65
  6. Step 6: Final answer
    x = 276.56

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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.