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Finding the Fourth Proportional to 200.75, 277.09 and 142.63

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Solution

The fourth proportional to 200.75, 277.09 and 142.63 is: 196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 277.09 = 142.63 : x
  2. Step 2: Convert to fraction form
    200.75/277.09 = 142.63/x
  3. Step 3: Cross multiply
    200.75x = 277.09 × 142.63
  4. Step 4: Simplify right side
    200.75x = 39,520.30
  5. Step 5: Solve for x
    x = 39,520.30/200.75
  6. Step 6: Final answer
    x = 196.87

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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.