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Finding the Fourth Proportional to 202.67, 301.74 and 200.24

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Solution

The fourth proportional to 202.67, 301.74 and 200.24 is: 298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.67 : 301.74 = 200.24 : x
  2. Step 2: Convert to fraction form
    202.67/301.74 = 200.24/x
  3. Step 3: Cross multiply
    202.67x = 301.74 × 200.24
  4. Step 4: Simplify right side
    202.67x = 60,418.91
  5. Step 5: Solve for x
    x = 60,418.91/202.67
  6. Step 6: Final answer
    x = 298.12

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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.