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Finding the Fourth Proportional to 279.85, 419.48 and 106.41

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Solution

The fourth proportional to 279.85, 419.48 and 106.41 is: 159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.85 : 419.48 = 106.41 : x
  2. Step 2: Convert to fraction form
    279.85/419.48 = 106.41/x
  3. Step 3: Cross multiply
    279.85x = 419.48 × 106.41
  4. Step 4: Simplify right side
    279.85x = 44,635.95
  5. Step 5: Solve for x
    x = 44,635.95/279.85
  6. Step 6: Final answer
    x = 159.50

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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.