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Finding the Fourth Proportional to 237.52, 327.81 and 200.53

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Solution

The fourth proportional to 237.52, 327.81 and 200.53 is: 276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.52 : 327.81 = 200.53 : x
  2. Step 2: Convert to fraction form
    237.52/327.81 = 200.53/x
  3. Step 3: Cross multiply
    237.52x = 327.81 × 200.53
  4. Step 4: Simplify right side
    237.52x = 65,735.74
  5. Step 5: Solve for x
    x = 65,735.74/237.52
  6. Step 6: Final answer
    x = 276.76

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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.