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Finding the Fourth Proportional to 358.01, 494.09 and 200.68

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Solution

The fourth proportional to 358.01, 494.09 and 200.68 is: 276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.01 : 494.09 = 200.68 : x
  2. Step 2: Convert to fraction form
    358.01/494.09 = 200.68/x
  3. Step 3: Cross multiply
    358.01x = 494.09 × 200.68
  4. Step 4: Simplify right side
    358.01x = 99,153.98
  5. Step 5: Solve for x
    x = 99,153.98/358.01
  6. Step 6: Final answer
    x = 276.96

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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.