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Finding the Fourth Proportional to 358.39, 494.55 and 203.14

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Solution

The fourth proportional to 358.39, 494.55 and 203.14 is: 280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.39 : 494.55 = 203.14 : x
  2. Step 2: Convert to fraction form
    358.39/494.55 = 203.14/x
  3. Step 3: Cross multiply
    358.39x = 494.55 × 203.14
  4. Step 4: Simplify right side
    358.39x = 100,462.89
  5. Step 5: Solve for x
    x = 100,462.89/358.39
  6. Step 6: Final answer
    x = 280.32

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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.