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Finding the Fourth Proportional to 354.26, 488.81 and 206.90

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Solution

The fourth proportional to 354.26, 488.81 and 206.90 is: 285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.26 : 488.81 = 206.90 : x
  2. Step 2: Convert to fraction form
    354.26/488.81 = 206.90/x
  3. Step 3: Cross multiply
    354.26x = 488.81 × 206.90
  4. Step 4: Simplify right side
    354.26x = 101,134.79
  5. Step 5: Solve for x
    x = 101,134.79/354.26
  6. Step 6: Final answer
    x = 285.48

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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.