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Finding the Fourth Proportional to 358.07, 494.14 and 200.71

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Solution

The fourth proportional to 358.07, 494.14 and 200.71 is: 276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.07 : 494.14 = 200.71 : x
  2. Step 2: Convert to fraction form
    358.07/494.14 = 200.71/x
  3. Step 3: Cross multiply
    358.07x = 494.14 × 200.71
  4. Step 4: Simplify right side
    358.07x = 99,179.71
  5. Step 5: Solve for x
    x = 99,179.71/358.07
  6. Step 6: Final answer
    x = 276.98

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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.