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Finding the Fourth Proportional to 200.93, 301.66 and 136.22

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Solution

The fourth proportional to 200.93, 301.66 and 136.22 is: 204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.93 : 301.66 = 136.22 : x
  2. Step 2: Convert to fraction form
    200.93/301.66 = 136.22/x
  3. Step 3: Cross multiply
    200.93x = 301.66 × 136.22
  4. Step 4: Simplify right side
    200.93x = 41,092.13
  5. Step 5: Solve for x
    x = 41,092.13/200.93
  6. Step 6: Final answer
    x = 204.51

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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.