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Finding the Fourth Proportional to 200.56, 277.90 and 196.24

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Solution

The fourth proportional to 200.56, 277.90 and 196.24 is: 271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.56 : 277.90 = 196.24 : x
  2. Step 2: Convert to fraction form
    200.56/277.90 = 196.24/x
  3. Step 3: Cross multiply
    200.56x = 277.90 × 196.24
  4. Step 4: Simplify right side
    200.56x = 54,534.11
  5. Step 5: Solve for x
    x = 54,534.11/200.56
  6. Step 6: Final answer
    x = 271.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.