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Finding the Fourth Proportional to 202.42, 301.84 and 200.59

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Solution

The fourth proportional to 202.42, 301.84 and 200.59 is: 299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.42 : 301.84 = 200.59 : x
  2. Step 2: Convert to fraction form
    202.42/301.84 = 200.59/x
  3. Step 3: Cross multiply
    202.42x = 301.84 × 200.59
  4. Step 4: Simplify right side
    202.42x = 60,544.58
  5. Step 5: Solve for x
    x = 60,544.58/202.42
  6. Step 6: Final answer
    x = 299.11

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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.