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Finding the Fourth Proportional to 279.81, 419.00 and 198.45

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Solution

The fourth proportional to 279.81, 419.00 and 198.45 is: 297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.81 : 419.00 = 198.45 : x
  2. Step 2: Convert to fraction form
    279.81/419.00 = 198.45/x
  3. Step 3: Cross multiply
    279.81x = 419.00 × 198.45
  4. Step 4: Simplify right side
    279.81x = 83,149.56
  5. Step 5: Solve for x
    x = 83,149.56/279.81
  6. Step 6: Final answer
    x = 297.16

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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.