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Finding the Fourth Proportional to 200.42, 276.62 and 138.23

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Solution

The fourth proportional to 200.42, 276.62 and 138.23 is: 190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.42 : 276.62 = 138.23 : x
  2. Step 2: Convert to fraction form
    200.42/276.62 = 138.23/x
  3. Step 3: Cross multiply
    200.42x = 276.62 × 138.23
  4. Step 4: Simplify right side
    200.42x = 38,236.05
  5. Step 5: Solve for x
    x = 38,236.05/200.42
  6. Step 6: Final answer
    x = 190.78

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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.