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Finding the Fourth Proportional to 201.23, 299.48 and 200.63

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Solution

The fourth proportional to 201.23, 299.48 and 200.63 is: 298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.23 : 299.48 = 200.63 : x
  2. Step 2: Convert to fraction form
    201.23/299.48 = 200.63/x
  3. Step 3: Cross multiply
    201.23x = 299.48 × 200.63
  4. Step 4: Simplify right side
    201.23x = 60,084.67
  5. Step 5: Solve for x
    x = 60,084.67/201.23
  6. Step 6: Final answer
    x = 298.59

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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.