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Finding the Fourth Proportional to 200.20, 301.36 and 146.44

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Solution

The fourth proportional to 200.20, 301.36 and 146.44 is: 220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.20 : 301.36 = 146.44 : x
  2. Step 2: Convert to fraction form
    200.20/301.36 = 146.44/x
  3. Step 3: Cross multiply
    200.20x = 301.36 × 146.44
  4. Step 4: Simplify right side
    200.20x = 44,131.16
  5. Step 5: Solve for x
    x = 44,131.16/200.20
  6. Step 6: Final answer
    x = 220.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.