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Finding the Fourth Proportional to 200.69, 301.04 and 61.88

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Solution

The fourth proportional to 200.69, 301.04 and 61.88 is: 92.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.69 : 301.04 = 61.88 : x
  2. Step 2: Convert to fraction form
    200.69/301.04 = 61.88/x
  3. Step 3: Cross multiply
    200.69x = 301.04 × 61.88
  4. Step 4: Simplify right side
    200.69x = 18,626.54
  5. Step 5: Solve for x
    x = 18,626.54/200.69
  6. Step 6: Final answer
    x = 92.81

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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.