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Finding the Fourth Proportional to 353.83, 488.18 and 206.45

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Solution

The fourth proportional to 353.83, 488.18 and 206.45 is: 284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.83 : 488.18 = 206.45 : x
  2. Step 2: Convert to fraction form
    353.83/488.18 = 206.45/x
  3. Step 3: Cross multiply
    353.83x = 488.18 × 206.45
  4. Step 4: Simplify right side
    353.83x = 100,781.29
  5. Step 5: Solve for x
    x = 100,781.29/353.83
  6. Step 6: Final answer
    x = 284.83

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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.