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Finding the Fourth Proportional to 358.10, 494.17 and 200.73

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Solution

The fourth proportional to 358.10, 494.17 and 200.73 is: 277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.10 : 494.17 = 200.73 : x
  2. Step 2: Convert to fraction form
    358.10/494.17 = 200.73/x
  3. Step 3: Cross multiply
    358.10x = 494.17 × 200.73
  4. Step 4: Simplify right side
    358.10x = 99,191.77
  5. Step 5: Solve for x
    x = 99,191.77/358.10
  6. Step 6: Final answer
    x = 277.00

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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.