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Finding the Fourth Proportional to 200.98, 301.47 and 109.49

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Solution

The fourth proportional to 200.98, 301.47 and 109.49 is: 164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.98 : 301.47 = 109.49 : x
  2. Step 2: Convert to fraction form
    200.98/301.47 = 109.49/x
  3. Step 3: Cross multiply
    200.98x = 301.47 × 109.49
  4. Step 4: Simplify right side
    200.98x = 33,006.65
  5. Step 5: Solve for x
    x = 33,006.65/200.98
  6. Step 6: Final answer
    x = 164.23

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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.