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Finding the Fourth Proportional to 200.98, 301.35 and 109.55

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Solution

The fourth proportional to 200.98, 301.35 and 109.55 is: 164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.98 : 301.35 = 109.55 : x
  2. Step 2: Convert to fraction form
    200.98/301.35 = 109.55/x
  3. Step 3: Cross multiply
    200.98x = 301.35 × 109.55
  4. Step 4: Simplify right side
    200.98x = 33,014.06
  5. Step 5: Solve for x
    x = 33,014.06/200.98
  6. Step 6: Final answer
    x = 164.26

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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.