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Finding the Fourth Proportional to 200.38, 276.34 and 125.60

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Solution

The fourth proportional to 200.38, 276.34 and 125.60 is: 173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.38 : 276.34 = 125.60 : x
  2. Step 2: Convert to fraction form
    200.38/276.34 = 125.60/x
  3. Step 3: Cross multiply
    200.38x = 276.34 × 125.60
  4. Step 4: Simplify right side
    200.38x = 34,708.30
  5. Step 5: Solve for x
    x = 34,708.30/200.38
  6. Step 6: Final answer
    x = 173.21

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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.