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Finding the Fourth Proportional to 201.54, 301.06 and 200.60

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Solution

The fourth proportional to 201.54, 301.06 and 200.60 is: 299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.54 : 301.06 = 200.60 : x
  2. Step 2: Convert to fraction form
    201.54/301.06 = 200.60/x
  3. Step 3: Cross multiply
    201.54x = 301.06 × 200.60
  4. Step 4: Simplify right side
    201.54x = 60,392.64
  5. Step 5: Solve for x
    x = 60,392.64/201.54
  6. Step 6: Final answer
    x = 299.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.