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Finding the Fourth Proportional to 279.74, 419.38 and 106.37

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Solution

The fourth proportional to 279.74, 419.38 and 106.37 is: 159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.74 : 419.38 = 106.37 : x
  2. Step 2: Convert to fraction form
    279.74/419.38 = 106.37/x
  3. Step 3: Cross multiply
    279.74x = 419.38 × 106.37
  4. Step 4: Simplify right side
    279.74x = 44,609.26
  5. Step 5: Solve for x
    x = 44,609.26/279.74
  6. Step 6: Final answer
    x = 159.47

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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.