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Finding the Fourth Proportional to 358.12, 494.24 and 202.90

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Solution

The fourth proportional to 358.12, 494.24 and 202.90 is: 280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.12 : 494.24 = 202.90 : x
  2. Step 2: Convert to fraction form
    358.12/494.24 = 202.90/x
  3. Step 3: Cross multiply
    358.12x = 494.24 × 202.90
  4. Step 4: Simplify right side
    358.12x = 100,281.30
  5. Step 5: Solve for x
    x = 100,281.30/358.12
  6. Step 6: Final answer
    x = 280.02

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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.