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Finding the Fourth Proportional to 279.73, 419.14 and 198.17

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Solution

The fourth proportional to 279.73, 419.14 and 198.17 is: 296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.73 : 419.14 = 198.17 : x
  2. Step 2: Convert to fraction form
    279.73/419.14 = 198.17/x
  3. Step 3: Cross multiply
    279.73x = 419.14 × 198.17
  4. Step 4: Simplify right side
    279.73x = 83,060.97
  5. Step 5: Solve for x
    x = 83,060.97/279.73
  6. Step 6: Final answer
    x = 296.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.