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Finding the Fourth Proportional to 358.35, 494.46 and 200.94

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Solution

The fourth proportional to 358.35, 494.46 and 200.94 is: 277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.35 : 494.46 = 200.94 : x
  2. Step 2: Convert to fraction form
    358.35/494.46 = 200.94/x
  3. Step 3: Cross multiply
    358.35x = 494.46 × 200.94
  4. Step 4: Simplify right side
    358.35x = 99,356.79
  5. Step 5: Solve for x
    x = 99,356.79/358.35
  6. Step 6: Final answer
    x = 277.26

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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.