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Finding the Fourth Proportional to 279.18, 418.77 and 170.78

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Solution

The fourth proportional to 279.18, 418.77 and 170.78 is: 256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.18 : 418.77 = 170.78 : x
  2. Step 2: Convert to fraction form
    279.18/418.77 = 170.78/x
  3. Step 3: Cross multiply
    279.18x = 418.77 × 170.78
  4. Step 4: Simplify right side
    279.18x = 71,515.45
  5. Step 5: Solve for x
    x = 71,515.45/279.18
  6. Step 6: Final answer
    x = 256.16

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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.