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Finding the Fourth Proportional to 279.22, 419.09 and 142.36

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Solution

The fourth proportional to 279.22, 419.09 and 142.36 is: 213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.22 : 419.09 = 142.36 : x
  2. Step 2: Convert to fraction form
    279.22/419.09 = 142.36/x
  3. Step 3: Cross multiply
    279.22x = 419.09 × 142.36
  4. Step 4: Simplify right side
    279.22x = 59,661.65
  5. Step 5: Solve for x
    x = 59,661.65/279.22
  6. Step 6: Final answer
    x = 213.67

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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.