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Finding the Fourth Proportional to 200.82, 276.96 and 127.11

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Solution

The fourth proportional to 200.82, 276.96 and 127.11 is: 175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.82 : 276.96 = 127.11 : x
  2. Step 2: Convert to fraction form
    200.82/276.96 = 127.11/x
  3. Step 3: Cross multiply
    200.82x = 276.96 × 127.11
  4. Step 4: Simplify right side
    200.82x = 35,204.39
  5. Step 5: Solve for x
    x = 35,204.39/200.82
  6. Step 6: Final answer
    x = 175.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.