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Finding the Fourth Proportional to 279.74, 419.80 and 198.74

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Solution

The fourth proportional to 279.74, 419.80 and 198.74 is: 298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.74 : 419.80 = 198.74 : x
  2. Step 2: Convert to fraction form
    279.74/419.80 = 198.74/x
  3. Step 3: Cross multiply
    279.74x = 419.80 × 198.74
  4. Step 4: Simplify right side
    279.74x = 83,431.05
  5. Step 5: Solve for x
    x = 83,431.05/279.74
  6. Step 6: Final answer
    x = 298.24

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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.