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Finding the Fourth Proportional to 279.84, 419.36 and 206.13

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Solution

The fourth proportional to 279.84, 419.36 and 206.13 is: 308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.84 : 419.36 = 206.13 : x
  2. Step 2: Convert to fraction form
    279.84/419.36 = 206.13/x
  3. Step 3: Cross multiply
    279.84x = 419.36 × 206.13
  4. Step 4: Simplify right side
    279.84x = 86,442.68
  5. Step 5: Solve for x
    x = 86,442.68/279.84
  6. Step 6: Final answer
    x = 308.90

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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.