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Finding the Fourth Proportional to 279.18, 419.13 and 234.09

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Solution

The fourth proportional to 279.18, 419.13 and 234.09 is: 351.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.18 : 419.13 = 234.09 : x
  2. Step 2: Convert to fraction form
    279.18/419.13 = 234.09/x
  3. Step 3: Cross multiply
    279.18x = 419.13 × 234.09
  4. Step 4: Simplify right side
    279.18x = 98,114.14
  5. Step 5: Solve for x
    x = 98,114.14/279.18
  6. Step 6: Final answer
    x = 351.44

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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.