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Finding the Fourth Proportional to 279.46, 418.81 and 106.04

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Solution

The fourth proportional to 279.46, 418.81 and 106.04 is: 158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.46 : 418.81 = 106.04 : x
  2. Step 2: Convert to fraction form
    279.46/418.81 = 106.04/x
  3. Step 3: Cross multiply
    279.46x = 418.81 × 106.04
  4. Step 4: Simplify right side
    279.46x = 44,408.78
  5. Step 5: Solve for x
    x = 44,408.78/279.46
  6. Step 6: Final answer
    x = 158.91

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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.