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Finding the Fourth Proportional to 279.70, 419.09 and 198.14

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Solution

The fourth proportional to 279.70, 419.09 and 198.14 is: 296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.70 : 419.09 = 198.14 : x
  2. Step 2: Convert to fraction form
    279.70/419.09 = 198.14/x
  3. Step 3: Cross multiply
    279.70x = 419.09 × 198.14
  4. Step 4: Simplify right side
    279.70x = 83,038.88
  5. Step 5: Solve for x
    x = 83,038.88/279.70
  6. Step 6: Final answer
    x = 296.89

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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.