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Finding the Fourth Proportional to 279.69, 419.06 and 198.38

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Solution

The fourth proportional to 279.69, 419.06 and 198.38 is: 297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.69 : 419.06 = 198.38 : x
  2. Step 2: Convert to fraction form
    279.69/419.06 = 198.38/x
  3. Step 3: Cross multiply
    279.69x = 419.06 × 198.38
  4. Step 4: Simplify right side
    279.69x = 83,133.12
  5. Step 5: Solve for x
    x = 83,133.12/279.69
  6. Step 6: Final answer
    x = 297.23

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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.