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Finding the Fourth Proportional to 200.89, 301.34 and 198.06

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Solution

The fourth proportional to 200.89, 301.34 and 198.06 is: 297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.89 : 301.34 = 198.06 : x
  2. Step 2: Convert to fraction form
    200.89/301.34 = 198.06/x
  3. Step 3: Cross multiply
    200.89x = 301.34 × 198.06
  4. Step 4: Simplify right side
    200.89x = 59,683.40
  5. Step 5: Solve for x
    x = 59,683.40/200.89
  6. Step 6: Final answer
    x = 297.09

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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.