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Finding the Fourth Proportional to 213.38, 294.24 and 200.98

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Solution

The fourth proportional to 213.38, 294.24 and 200.98 is: 277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.38 : 294.24 = 200.98 : x
  2. Step 2: Convert to fraction form
    213.38/294.24 = 200.98/x
  3. Step 3: Cross multiply
    213.38x = 294.24 × 200.98
  4. Step 4: Simplify right side
    213.38x = 59,134.88
  5. Step 5: Solve for x
    x = 59,134.88/213.38
  6. Step 6: Final answer
    x = 277.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.