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Finding the Fourth Proportional to 200.72, 277.25 and 138.44

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Solution

The fourth proportional to 200.72, 277.25 and 138.44 is: 191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.72 : 277.25 = 138.44 : x
  2. Step 2: Convert to fraction form
    200.72/277.25 = 138.44/x
  3. Step 3: Cross multiply
    200.72x = 277.25 × 138.44
  4. Step 4: Simplify right side
    200.72x = 38,380.41
  5. Step 5: Solve for x
    x = 38,380.41/200.72
  6. Step 6: Final answer
    x = 191.22

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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.