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Finding the Fourth Proportional to 208.92, 288.06 and 202.20

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Solution

The fourth proportional to 208.92, 288.06 and 202.20 is: 278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.92 : 288.06 = 202.20 : x
  2. Step 2: Convert to fraction form
    208.92/288.06 = 202.20/x
  3. Step 3: Cross multiply
    208.92x = 288.06 × 202.20
  4. Step 4: Simplify right side
    208.92x = 58,245.73
  5. Step 5: Solve for x
    x = 58,245.73/208.92
  6. Step 6: Final answer
    x = 278.79

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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.