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Finding the Fourth Proportional to 358.41, 494.63 and 203.16

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Solution

The fourth proportional to 358.41, 494.63 and 203.16 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.41 : 494.63 = 203.16 : x
  2. Step 2: Convert to fraction form
    358.41/494.63 = 203.16/x
  3. Step 3: Cross multiply
    358.41x = 494.63 × 203.16
  4. Step 4: Simplify right side
    358.41x = 100,488.02
  5. Step 5: Solve for x
    x = 100,488.02/358.41
  6. Step 6: Final answer
    x = 280.37

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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.