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Finding the Fourth Proportional to 200.90, 301.07 and 97.98

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Solution

The fourth proportional to 200.90, 301.07 and 97.98 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.90 : 301.07 = 97.98 : x
  2. Step 2: Convert to fraction form
    200.90/301.07 = 97.98/x
  3. Step 3: Cross multiply
    200.90x = 301.07 × 97.98
  4. Step 4: Simplify right side
    200.90x = 29,498.35
  5. Step 5: Solve for x
    x = 29,498.35/200.90
  6. Step 6: Final answer
    x = 146.83

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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.