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Finding the Fourth Proportional to 279.24, 418.41 and 170.70

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Solution

The fourth proportional to 279.24, 418.41 and 170.70 is: 255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.24 : 418.41 = 170.70 : x
  2. Step 2: Convert to fraction form
    279.24/418.41 = 170.70/x
  3. Step 3: Cross multiply
    279.24x = 418.41 × 170.70
  4. Step 4: Simplify right side
    279.24x = 71,422.59
  5. Step 5: Solve for x
    x = 71,422.59/279.24
  6. Step 6: Final answer
    x = 255.77

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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.