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Finding the Fourth Proportional to 200.70, 276.77 and 133.27

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Solution

The fourth proportional to 200.70, 276.77 and 133.27 is: 183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.70 : 276.77 = 133.27 : x
  2. Step 2: Convert to fraction form
    200.70/276.77 = 133.27/x
  3. Step 3: Cross multiply
    200.70x = 276.77 × 133.27
  4. Step 4: Simplify right side
    200.70x = 36,884.78
  5. Step 5: Solve for x
    x = 36,884.78/200.70
  6. Step 6: Final answer
    x = 183.78

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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.