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Finding the Fourth Proportional to 200.80, 301.34 and 77.52

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Solution

The fourth proportional to 200.80, 301.34 and 77.52 is: 116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.80 : 301.34 = 77.52 : x
  2. Step 2: Convert to fraction form
    200.80/301.34 = 77.52/x
  3. Step 3: Cross multiply
    200.80x = 301.34 × 77.52
  4. Step 4: Simplify right side
    200.80x = 23,359.88
  5. Step 5: Solve for x
    x = 23,359.88/200.80
  6. Step 6: Final answer
    x = 116.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.