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Finding the Fourth Proportional to 279.72, 419.12 and 198.17

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Solution

The fourth proportional to 279.72, 419.12 and 198.17 is: 296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.72 : 419.12 = 198.17 : x
  2. Step 2: Convert to fraction form
    279.72/419.12 = 198.17/x
  3. Step 3: Cross multiply
    279.72x = 419.12 × 198.17
  4. Step 4: Simplify right side
    279.72x = 83,053.92
  5. Step 5: Solve for x
    x = 83,053.92/279.72
  6. Step 6: Final answer
    x = 296.92

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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.