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Finding the Fourth Proportional to 279.02, 418.60 and 105.69

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Solution

The fourth proportional to 279.02, 418.60 and 105.69 is: 158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.02 : 418.60 = 105.69 : x
  2. Step 2: Convert to fraction form
    279.02/418.60 = 105.69/x
  3. Step 3: Cross multiply
    279.02x = 418.60 × 105.69
  4. Step 4: Simplify right side
    279.02x = 44,240.59
  5. Step 5: Solve for x
    x = 44,240.59/279.02
  6. Step 6: Final answer
    x = 158.56

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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.